Peter Cameron's publications

Abstracts of my recent publications are kept here, and are individually linked from this page. Published versions of the papers which are freely available are being linked as well, via the doi mechanism if possible.

Links to my papers on arXiv

1969-1979 | 1980-1989 | 1990-1999 | 2000-2009 | 2010-2019
2020-present | In press | Preprints

Preprints:

• (with Rishabh Chakraborty, Rajat Kanti Nath and Deiborlang Nongsiang) Co-Engel graphs of certain finite non-Engel groups, arXiv 2408.03879

• (with G. Arunkumar, R. Ganeshbabu and Rajat Kanti Nath) Main functions and the spectrum of super graphs, arXiv 2408.00390

• (with Coen del Valle and Colva Roney-Dougal) Regular bipartite multigraphs have many (but not too many) symmetries, arXiv 2405.20002

• (with Hiranya Kishore Dey) On the order sequence of a group, arXiv 2310.06516

• (with Xuanlong Ma and Natalia Maslova) Forbidden subgraphs in commuting graphs of finite groups, arXiv 2305.07301

• (with C. A. Glass, K. Rekvényi and R. U. Schumacher) Acyclic orientations and poly-Bernoulli numbers, arXiv 1412.3685

• (with V. Arvind) Recognising the commuting graph of a finite group, arXiv 2206.01059

• (with Liam Stott) Trees and cycles, arXiv 2010.14902

• (with Jim Belk, Collin Bleak and Feyisayo Olukoya) Automorphisms of shift spaces and the Higman--Thompson groups: the two-sided case, arXiv 2006.01466

• (with J. Araújo) Primitive groups, road closures and idempotent generation, arXiv 1611.08233

In press:

• (with Aparna Lakshmanan S. and Midhuna V. Ajith) Hypergraphs defined on algebraic structures, Comm. Combinatorics Optimization, in press; doi: 10.22049/cco.2024.29607.2077; arXiv 2303.00546; abstract

• (with Ajay Kumar, Lavanya Selvaganesh and T. Tamizh Chelvam) Superpower graphs of finite groups, J. Algebra Appl., in press; doi: 10.1142/S0219498825502147; abstract

• What can graphs and algebraic structures say to each other? AKCE Internat. J. Graphs and Combinatorics, in press; doi: 10.1080/09728600.2023.2290036; abstract

Published:

• (with D. Bradley-Williams, J. Hubička and M. Konečný) EPPA numbers of graphs, J. Combinatorial Theory (B), 170 (2025), 203-224; doi: 10.1016/j.jctb.2024.09.003; arXiv 2311.07995; abstract

2024

• (with João Araújo, Carlo Casolo, Francesco Matucci and Claudio Quadrelli) Integrals of groups II, Israel J. Math., 263 (2024), 49-91; doi: 10.1007/s11856-024-2610-4; arXiv 2008.13675; abstract

• (with Collin Bleak, Yonah Maissel, Andrés Navas, and Feyisayo Olukoya) The further chameleon groups of Richard Thompson and Graham Higman: Automorphisms via dynamics for the Higman groups G_n,r, Memoirs Amer. Math. Soc. 1510 (2024); doi: 10.1090/memo/1510; arXiv 1605.09302, abstract

• (with G. Arunkkumar and Rajat Kanti Nath) Super graphs on groups, II, Discrete Appl. Math. 359 (2024), 371-382; doi: 10.1016/j.dam.2024.09.012; abstract

• (with David Craven, Hamid Reza Dorbidi, Scott Harper and Benjamin Sambale) Covers of groups, J. Algebra 660 (2004), 345-372; doi: 10.1016/j.jalgebra.2024.06.038, arXiv 2311.15652; abstract

• Independence and bases: theme and variations, Model Theory, 3 (2024), 417-431; doi: 10.2140/mt.2024.3.417; abstract

• (with D. Leemans and M. E. Fernandes) The number of string C-groups of high rank, Advances in Mathematics 453 (2024), 109832; doi: 10.1016/j.aim.2024.109832; arXiv 2212.12723; abstract

• (with S. Anukumar Kathirvel and T. Tamizh Chelvam) Generalized non-coprime graphs of groups, J. Algebraic Combinatorics 59 (2004), 807-825; doi: 10.1007/s10801-024-01310-5; arXiv 2208.01900; abstract

• (with F. E. Jannat, R. K. Nath and R. Sharafdini) A survey on conjugacy class graphs of groups, Expositiones Math. 42 (2024), 125585; doi: 10.1016/j.exmath.2024.125585; arXiv 2403.09423; abstract

• (with Sucharita Biswas, Angsuman Das and Hiranya Kishore Dey) On difference of enhanced power graph and power graph in a finite group, J. Combinatorial Theory (A), 208 (2024), 105932; doi: 10.1016/j.jcta.2024.105932; abstract

• (edited book, with R. A. Bailey and Yaokun Wu) Groups and Graphs, Designs and Dynamics, London Math. Soc. Lecture Notes 491, Cambridge Univ. Press, Cambridge, 2024; ISBN 9781009465953.

• (with R. A. Bailey) Laplacian eigenvalues and optimality, in Groups and Graphs, Designs and Dynamics (ed. R. A. Bailey, Peter J. Cameron and Yaokun Wu), pp. 176-265, London Math. Soc. Lecture Notes 491, Cambridge Univ. Press, Cambridge, 2024; ISBN 9781009465953; abstract

• (with Parthajit Bhowal, Rajat Kanti Nath and Benjamin Sambale) Genus and crosscap of solvable conjugacy class graphs of finite groups, Arch. Math., 122 (2024), 475–489; doi: 10.1007/s00013-024-01974-2; abstract

• (with Xuanlong Ma) Finite groups whose commuting graph is split, Trudy Instituita Mat. i Mekh. UrO RAN 30 (2024), 280-283; doi: 10.21538/0134-4889-2024-30-1-280-283; abstract

• (with R. A. Bailey, Dário Ferreira, Sandra S. Ferreira and Célia Nunes) Designs for half-diallel experiments with commutative orthogonal block structure, J. Statist. Planning Inference 231 (2024), 106139; doi: 10.1016/j.jspi.2023.106139; abstract

2023

• (with James East, Des FitzGerald, James D. Mitchell, Luke Pebody and Thomas Quinn-Gregson) Minimum degrees of finite rectangular bands, null semigroups, and variants of full transformation semigroups, Combinatorial Theory 3(3) (2023), #16 (48pp.); doi: 10.5070/C63362799; arXiv 2110.09701, abstract

• (with Angsuman Das and Hiranya Kishore Dey) On some properties of vector space based graphs, Linear and Multilinear Algebra, 71 (2023), 2858-2868; doi: 10.1080/03081087.2022.2121370, abstract

• (with Marina Anagnostopoulou-Merkouri) Association schemes with given stratum dimensions: on a paper of Peter M. Neumann, Algebraic Combinatorics 6 (2023), 1189-1210; doi: 10.5802/alco.307; arXiv 2208.04049; abstract

• (with Marina Anagnostopoulou-Merkouri and Enoch Suleiman) Pre-primitive permutation groups, J. Algebra 636 (2023), 695-715; doi: 10.1016/j.jalgebra.2023.09.012, abstract, arXiv 2302.13703

• (with J. Araújo, J. P. Araújo, E. W. H. Lee and J. Raminhos) A survey on varieties generated by small semigroups and a companion website, J. Algebra, 635 (2023), 698-735; doi: 10.1016/j.jalgebra.2023.06.030; abstract

• (with G. Arunkumar, T. Kavaskar, and T. Tamizh Chelvam) Induced subgraphs of zero-divisor graphs, Discrete Math. 346 (2023), paper 113580; doi: 10.1016/j.disc.2023.113580 arXiv 2207.11741; abstract

• (with Parthajit Bhowal, Rajat Kanti Nath and Benjamin Sambale) Solvable conjugacy class graph of groups, Discrete Math., 346 (2023), paper 113467; doi: 10.1016/j.disc.2023.113467; arXiv 2112.02613, abstract

• (with Bojan Kuzma) Between the enhanced power graph and the commuting graph, J. Graph Theory 102 (2023), 295-303; doi: 10.1002/jgt.22871; arXiv 2012.03789; abstract

• (with Veronica Phan) Enhanced power graphs are weakly perfect, Australasian J. Combinatorics 85(1) (2023), 100-105; arXiv 2207.07156, abstract

• Book review: Graph Theory in America: The First Hundred Years by Robin Wilson, John J. Watkins and David J. Parks, Bull. British Soc. History of Mathematics 38 (2023), 229-230; doi: 10.1080/26375451.2023.2248446

2022

• (with R. A. Bailey, Michael Kinyon and Cheryl E. Praeger) Diagonal groups and arcs over groups, Designs, Codes, Cryptography 90 (2022), 2069-2080; doi: 10.1007/s10623-021-00907-2 , arXiv 2010.16338, abstract

• (with T. Britz) Codes, chapter in Handbook of the Tutte Polynomial (ed. J. Ellis-Monaghan and I. Moffatt), CRC Press, Boca Raton, 2022, pp. 328-344; doi: 10.1201/9780429161612-16; abstract

• (with V. V. Swathi and M. S. Sunitha) Matching in power graphs of finite groups, Annals of Combinatorics 26 (2022), 379-391; doi: 10.1007/s00026-022-00576-5; arXiv 2107.01157; abstract

• (with R. Raveendra Prathap and T. Tamizh Chelvam) Subgroup sum graphs of finite abelian groups, Graphs and Combinatorics 38 (2022), article 114; doi: 10.1007/s00373-022-02515-w; arXiv 2111.05748; abstract

• (with Natalia Maslova) Criterion of unrecognizability of a finite group by its Gruenberg–Kegel graph, J. Algebra 607 (2022), 186-213; doi: 10.1016/j.jalgebra.2021.12.005; abstract; arXiv 2012.01482

• (with R. A. Bailey, Cheryl E. Praeger and Csaba Schneider) The geometry of diagonal groups, Trans. Amer. Math. Soc. 375 (2022), 5259-5311; doi: 10.1090/tran/8507, arXiv 2007.10726, abstract

• (with G. Arunkumar, Rajat Kanti Nath and Lavanya Selvaganesh) Super graphs on groups, I, Graphs and Combinatorics 38 (2022), article 100; doi: 10.1007/s00373-022-02496-w, arXiv 2112.02395; abstract

• (with João Araújo, W. Bentz, M. Kinyon and J. Konieczny) Matrix theory for independence algebras, Linear Algebra Appl. 642 (2022), 221-250; doi: 10.1016/j.laa.2022.02.021; abstract

• Balanced Incomplete Block Designs, chapter in Sage Encyclopdia of Research Design (ed. Bruce B. Frey), Sage Publishing, Thousand Oaks, 2022, 6pp.: doi: 10.4135/9781071812082.n35; abstract

• (with A. Herman and D. Leemans) String C-groups with Schur index 2, J. Pure Appl. Algebra 226 (2022), 107025; doi: 10.1016/j.jpaa.2022.107025, arXiv 2201.01313, abstract
• Graphs defined on groups, Internat. J Group Theory 11 (2022), 43-124; doi: 10.22108/ijgt.2021.127679.1681; arXiv 2102.11177; abstract

• (with Pallabi Manna and Ranjit Mehatari) On finite groups whose power graph is a cograph, J. Algebra 591 (2022), 59-74; doi: 10.1016/j.jalgebra.2021.09.034; arXiv 2106.14217; abstract

2021

• (with R. A. Bailey) The diagonal graph, J. Ramanujan Math. Soc. 36 (2021), 353-361. arXiv 2101.02451, abstract

• (with Collin Bleak and Feyisayo Olukoya) Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case, Discrete Analysis 2021:15 (2021), 35pp.; doi: 10.19086/da.28243; arXiv 2004.08478; abstract

• (with Ajay Kumar, Lavanya Selvaganesh and T. Tamizh Chelvam) Recent developments on the power graph of finite groups – a survey, AKCE Internat. J. Graphs Combinatorics 18 (2021), 65-94; doi: 10.1080/09728600.2021.1953359; abstract

• (with Pallabi Manna and Ranjit Mehatari) Forbidden subgraphs of power graphs, Electronic J. Combinatorics 28(3) (2021), Paper P3.4; doi: 10.37236/9961; arXiv 2010.05198; abstract

• (with B. Adam-Day) Undirecting membership in models of ZFA, Aequationes Math. 95 (2021), 393-400; doi: 10.1007/s00010-020-00763-w, arXiv 1708.07943, abstract

• (with J. Araújo, J. P. Araújo, W. Bentz and P. Spiga) A transversal property for permutation groups motivated by partial transformations, J. Algebra 573 (2021), 741-759; doi: 10.1016/j.jalgebra.2020.12.024; arXiv 1911.02058; abstract

• (with Saul D. Freedman and Colva M. Roney-Dougal) The non-commuting, non-generating graph of a nilpotent group, Electronic J. Combinatorics 28(1) (2021), paper P1.16 (15pp); doi: 10.37236/9802; arXiv 2008.09291; abstract

• (with R. A. Bailey, M. Giudici and G. F. Royle) Groups generated by derangements, J. Algebra 572 (2021), 245-262; doi: 10.1016/j.jalgebra.2020.12.020; arXiv 2004.01950; abstract

• (with J. Araújo and W. Bentz) The existential transversal property: a generalization of homogeneity and its impact on semigroups, Trans. Amer. Math. Soc. 374 (2021), 1155-1195; doi: 10.1090/tran/8285, arXiv 1808.06085, abstract

• (with J. Araújo and W. Bentz) Primitive permutation groups and strongly factorizable transformation semigroups, J. Algebra 565 (2021), 513-530; doi: 10.1016/j.jalgebra.2020.05.023; arXiv 1910.08335; abstract

2020

• (with S. H. Jafari) On the connectivity and independence number of power graphs of groups, Graphs and Combinatorics 36 (2020), 895-904; doi: 10.1007/s00373-020-02162-z; arXiv 1910.06721; abstract

• (with R. A. Bailey, L. H. Soicher and E. R. Williams) Substitutes for the non-existent square lattice designs for 36 varieties, J. Agricultural, Biological and Environmental Statistics 25 (2020), 487-499; doi: 10.1007/s13253-020-00388-1; arXiv 1912.08087, abstract

• (with J. N. Bray, Q. Cai, P. Spiga and H. Zhang) The Hall–Paige conjecture, and synchronization for affine and diagonal groups, J. Algebra 545 (2020), 27-42; doi: 10.1016/j.jalgebra.2019.02.025, arXiv 1811.12671, abstract

• (with J. Araújo, C. Casolo and F. Matucci) Integrals of groups, Israel J. Math. 234 (2019), 149-178; doi: 10.1007/s11856-019-1926-y, arXiv 1803.10179, abstract

• (with Sean Eberhard) Association schemes for diagonal groups, Australasian J. Combinatorics 75 (2019), 357-364; correction, ibid. 78 (2020), 450.

• (with David Ellis and William Raynaud) Smallest cyclically covering subspaces of F_qⁿ, and lower bounds in Isbell's conjecture, Europ. J. Combinatorics 81 (2019), 242-255; doi: 10.1016/j.ejc.2019.06.004; arXiv 1810.03485; abstract

• (with R. A. Bailey) Multi-part balanced incomplete-block designs, Statistical Papers 60 (2019), 405-426; doi: 10.1007/s00362-018-01071-x. Appendage ibid., in press; doi: 10.1007/s00362-019-01137-4. arXiv 1803.00006; abstract

• (with R. A. Bailey, A. L. Gavrilyuk and S. V. Goryainov) Equitable partitions of Latin square graphs, J. Combinatorial Designs 27 (2019), 142-160; doi: 10.1002/jcd.21634, arXiv 1802.01001, abstract

• (with João Araújo and Wolfram Bentz) Orbits of primitive k-homogenous groups on (n−k)-partitions with applications to semigroups, Trans. Amer. Math. Soc. 371 (2019), 105-136; doi: 10.1090/tran/7274; arXiv 1512.05608; abstract

• (with Horacio Guerra and Šimon Jurina) The power graph of a torsion-free group, J. Algebraic Combinatorics 49 (2019), 83-98; doi: 10.1007/s10801-018-0819-1; arXiv 1705.01586; abstract

2018

• (with R. A. Bailey) Substitutes for the non-existence square lattice designs for 36 varieties, Biuletyn Oceny Odmian 35 (2018), 11-13.

• (with Bertalan Bodor and Csaba Szabó) Infinitely many reducts of homogeneous structures, Algebra Universalis 79 (2018), article 43; doi: 10.1007/s00012-018-0526-8; arXiv 1609.07694; abstract

• (with R. A. Bailey and Tomas Nilson) Sesqui-arrays, a generalisation of triple arrays, Australas. J. Combinatorics 71(3) (2018), 427-451; arXiv 1706.02930, abstract

• (with Andrea Lucchini and Colva M. Roney-Dougal) Generating sets of finite groups, Trans. Amer. Math. Soc. 370 (2018), 6751-6770; doi: 10.1090/tran/7248; arXiv 1609.06077; abstract

• (with João Araújo) Special issue on computational algebra (introduction), Portugaliae Mathematica 74 (2018), 171-172; doi: 10.4171/PM/2000

• (with Mohammed Aljohani and John Bamberg) Synchronization and separation in the Johnson scheme, Portugaliae Mathematica 74 (2018), 213-232; doi: 10.4171/PM/2003; arXiv 1706.01365; abstract

• (with J. Semeraro) The cycle polynomial of a permutation group, Electronic J. Combinatorics 25(1) (2018), Paper P1.14; arXiv 1701.06954, abstract

• Book review: Chris Godsil and Karen Meagher, Erdős–Ko–Rado Theorems: Algebraic Approaches, Mathematical Gazette 102 (2018), 189-190.

2017

• (with João Araújo and Benjamin Steinberg) Between primitive and 2-transitive: Synchronization and its friends, Europ. Math. Soc. Surveys 4 (2017), 101-184; doi: 10.4171/EMSS/4-2-1; arXiv 1511.03184; abstract

• (with Tomas Nilson) Triple arrays from difference sets, J. Combinatorial Designs 25 (2017), 494-506; doi 10.1002/jcd.21569, arXiv 1609.00152, abstract

• (with Ghodratallah Aalipour, Saieed Akbari, Reza Nikandish and Farzad Shaveisi) On the structure of the power graph and the enhanced power graph of a group, Electronic J. Combinatorics 24(3) (2017), P3.16; arXiv 1603.04337, abstract

• (with J. Araújo, J. P. Araújo, T. Dobson, A. Hulpke and P. Lopes) Imprimitive permutations in primitive groups, J. Algebra 486 (2017), 396-416; doi: 10.1016/j.jalgebra.2017.03.043; arXiv 1611.06450; abstract

• (with Maximilien Gadouleau, James D. Mitchell, Yann Peresse) Chains of subsemigroups, Israel J. Mathematics 220 (2017), 479-508; doi: 10.1007/s11856-017-1523-x; arXiv 1501.06394, abstract

• (with Maria Elisa Fernandes, Dimitri Leemans, and Mark Mixer) Highest rank of a polytope for A_n, Proc. London Math. Soc. 115 (2017), 135-176; doi: 10.1112/plms.12039; arXiv 1605.09173, abstract

• (with Kerri Morgan) Algebraic properties of chromatic roots, Electronic J. Combinatorics 24(1) (2017), paper #P1.21; arXiv 1610.00424; abstract

• (with R. A. Bailey, K. Filipiak, J. Kunert and A. Markiewicz) On optimality and construction of circular repeated-measurements designs, Statistica Sinica 27 (2017), 1-22; doi: 10.5705/ss.202015.0045; arXiv 1410.1661; abstract

• (with A. Castillo-Ramirez, M. Gadouleau and J.D. Mitchell) Lengths of words in transformation semigroups generated by digraphs, J. Algebraic Combinatorics 45 (2017), 149-170; doi 10.1007/s10801-016-0703-9 ; arXiv 1602.00935, abstract

• (with J. Kusuma and P. Solé) Z₄-codes and their Gray map images as orthogonal arrays, Designs, Codes, Crypt. 84 (2017), 109-114; doi: 10.1007/s10623-016-0225-4; arXiv 1510.01509; abstract

• Notes on counting: An introduction to enumerative combinatorics, Austral. Math. Soc. Lecture Series 26, June 2017; ISBN: 9781108404952.

2016

• (with J. Araújo, W. Bentz, G. F. Royle, and A. Schaefer) Primitive groups, graph endomorphisms and synchronization, Proc. London Math. Soc 113 (2016), 829-867; doi: 10.1112/plms/pdw040; arXiv 1504.01629, abstract

• (with Anh N. Dang and Søren Riis) Guessing games on triangle-free graphs, Electronic J. Combinatorics 23(1) (2016), Paper #1.48 (15pp.); arXiv 1410.2405; abstract

• Enumerative Combinatorics, pp. 1-39 in Algebra, Logic and Combinatorics (ed. Shaun Bullett, Frank Smith and Tom Fearn), LTCC Advanced Mathematics Series 3, World Scientific, ISBN 978-1-78634-029-0; abstract

• (with J. André and J. Araújo) The classification of partition homogeneous groups with applications to semigroup theory, J. Algebra 452 (2016), 288-310; doi: 10.1016/j.jalgebra.2015.12.025; arXiv 1304.7391; abstract

• (with Maria Elisa Fernandes, Dimitri Leemans and Mark Mixer) String C-groups as transitive subgroups of Sym(n), J. Algebra 447 (2016), 468-478; doi: 10.1016/j.jalgebra.2015.09.040; arXiv 1410.5863; abstract

• (with João Araújo) Two generalizations of homogeneity in groups with applications to regular semigroups, Trans. Amer. Math. Soc. 368 (2016), 1159-1188; doi: 10.1090/tran/6368, arXiv 1204.2195, abstract

• (with Cheryl E. Praeger) Constructing flag-transitive, point-imprimitive designs, J. Algebraic Combinatorics 43 (2016), 755-769; doi: 10.1007/s10801-015-0591-4; arXiv 1408.6598, abstract

2015

• (with Sebastian M. Cioabă) A graph partition problem, Amer. Math. Monthly 122 (2015), 972-983; arXiv 1408.0371, abstract

• (with João Araújo) Permutation groups and transformation semigroups: results and problems, pp.128-141 in Proceedings of Groups St Andrews 2013 (ed. C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal), London Math. Soc. Lecture Notes 422, Cambridge University Press, Cambridge, 2015, ISBN 978-1-107-51454-6; arXiv 1308.3585, abstract

• (with Pablo Spiga) Most switching classes with primitive automorphism groups contain graphs with trivial groups, Australasian J. Combinatorics 62 (2015), 76-90; arXiv 1407.5288, abstract

• (with László Babai) Most primitive groups are full automorphism groups of edge-transitive hypergraphs J. Algebra 421 (2015), 512–523; doi 10.1016/j.jalgebra.2014.09.002, arXiv 1404.3585, abstract

2014

• (with Ben Fairbairn and Maximilien Gadouleau) Computing in permutation groups without memory, Chicago J. Theor. Computer Sci., Vol 2014, paper 7; doi: 10.4086/cjtcs.2014.007; arXiv 1310.6008, abstract

• (with Ben Fairbairn and Maximilien Gadouleau) Computing in matrix groups without memory, Chicago J. Theor. Computer Sci.; Vol 2014, paper 8; doi: 10.4086/cjtcs.2014.008; arXiv 1310.6009, abstract

• (with João Araújo) Primitive groups synchronize non-uniform maps of extreme ranks, J. Combinatorial Theory (B) 106 (2014), 98-114; doi: 10.1016/j.jctb.2014.01.006; arXiv 1306.4827, abstract

• (with Joshua M. Browning and Ian M. Wanless) Bounds on the number of small Latin subsquares, J. Combinatorial Theory (A) 124 (2014), 41-56; doi: 10.1016/j.jcta.2014.01.002; abstract

2013

• The random graph, pp. 353-378 in The Mathematics of Paul Erdős, II (2nd ed.), ed. Ronald L. Graham, Jaroslav Nešetřil and Steve Butler, Springer, 2013, ISBN 978-1-4614-7253-7; doi: 10.1007/978-1-4614-7254-4_22; arXiv1301.7544, abstract

• (With João Araújo and Wolfram Bentz) Groups synchronizing a transformation of non-uniform kernel, Theoretical Computer Science 498 (2013), 1-9; doi: 10.1016/j.tcs.2013.06.016; arXiv 1205.0682, abstract

• Aftermath: a personal view of combinatorics, pp. 355-366 in Combinatorics, Ancient and Modern (ed. J. J. Watkins and R. J. Wilson), Oxford University Press, 2013; ISBN: 978-0-19-965659-2; arXiv 1111.4050, abstract

• Groups with right-invariant multiorders, Australasian J. Combinatorics 56 (2013), 187-193; arXiv 1209.3220, abstract

• (with Claude Laflamme, Maurice Pouzet, Sam Tarzi and Robert Woodrow) Overgroups of the automorphism group of the Rado graph, Asymptotic Geometric Analysis (ed. Monika Ludwig, Vitali D. Milman, Vladimir Pestov, and Nicole Tomczak-Jaegermann), Fields Institute Communications 68, Springer, 2013, pp. 45-54, ISBN 978-1-4614-6405-1; arXiv 1205.3717, abstract

• Dixon's Theorem and random synchronization, Discrete Mathematics 313 (2013), 1233–1236; doi: 10.1016/j.disc.2012.06.002; arXiv 1108.3958, abstract

• (with M. R. Gadouleau and S. Riis) Combinatorial representations, J. Combinatorial Theory (A) 120 (2013), 671-682; doi: 10.1016/j.jcta.2012.12.002; arXiv 1109.1216, abstract

• (with R. A. Bailey) Using graphs to find the best block designs, in Topics in Structural Graph Theory (ed. L. W. Beineke and R. J. Wilson), Encyclopedia of Mathematics and its Applications 147, Cambridge University Press, 2013, pp. 282-317; arXiv 1111.3768, abstract

• (with J. Araújo, J. D. Mitchell and M. Neunhöffer) The classification of normalizing groups, J. Algebra 373 (2013), 481-490; doi: 10.1016/j.jalgebra.2012.08.033; arXiv 1205.0450, abstract

2012

• (with B. S. Webb) Perfect countably infinite Steiner triple systems, Australas. J. Combinatorics 54 (2012), 273-278; abstract

• (with Adam Bohn and Peter Müller) Galois groups of multivariate Tutte polynomials, J. Algebraic Combinatorics 36 (2012), 223-230; doi: 10.1007/s10801-011-0332-2; arXiv 1006.3869, abstract

• (with Maxmilien Gadouleau) Remoteness of permutation codes, European J. Combinatorics 33 (2012), 1273-1285; doi: 10.1016/j.ejc.2012.03.027; arXiv 1110.2028, abstract

• (with A. J. W. Hilton and E. R. Vaughan) An analogue of Ryser's Theorem for partial Sudoku squares, J. Combinatorial Math. Combinatorial Computing 80 (2012), 47-69; arXiv 1107.2634

• (with Tatiana Gateva-Ivanova) Multipermutation solutions of the Yang–Baxter equation, Comm. Math. Phys. 309 (2012), 589-631; doi: 10.1007/s00220-011-1394-7; arXiv 0907.4276, abstract

• Book review: Circles Disturbed: the Interplay of Mathematics and Narrative (ed. Apostolos Doxiadis and Barry Mazur), London Math. Soc. Newsletter 417 (September 2012), 30

2011

• (with Christian Krattenthaler and Thomas W. Müller) A note on higher-dimensional magic matrices, Australasian J. Combinatorics 50 (2011), 207-217; arXiv 1104.4938, abstract

• (with Shamik Ghosh) The power graph of a finite group, Discrete Math. 311 (2011), 1220-1222; doi: 10.1016/j.disc.2010.02.011, abstract

• (editor) Problems from the 22nd British Combinatorial Conference, Discrete Math. 311 (2011), 1074-1083; doi: 10.1016/j.disc.2011.02.024, abstract

• (with Robert F. Bailey) Base size, metric dimension, and other invariants of groups and graphs, Bull. London Math. Soc. 43 (2011), 209-242; doi: 10.1112/blms/bdq096, abstract

• Face to face: In conversation with a global mathematician: Peter J Cameron talks to Amrita Antony, Resonance 16 (2011), 392-399: on-line version here

2010

• (with Christian Krattenthaler and Thomas W. Müller) Decomposable functors and the exponential principle, II, Séminaire Lotharingien de Combinatoire 61A (2010), Article B61Am; arXiv 0911.3760, abstract

• The power graph of a finite group, II, J. Group Theory 13 (2010), 779-783; doi: 10.1515/JGT.2010.023

• (editor) Problems from CGCS Luminy, Europ. J. Combinatorics 31 (2010), 644-648; doi: 10.1016/j.ejc.2009.03.045, abstract

• Permutation codes, Europ. J. Combinatorics 31 (2010), 482-490; doi: 10.1016/j.ejc.2009.03.044, abstract

• (with Mihyun Kang and Dudley Stark) Random preorders and alignments, Discrete Math. 310 (2010), 591-603; doi: 10.1016/j.disc.2009.04.021, abstract

• (with D. Lockett) Posets, homomorphisms and homogeneity, Discrete Math. 310 (2010), 604-613; doi: 10.1016/j.disc.2009.04.027, abstract

• (with Taoyang Wu) The complexity of the weight problem for permutation and matrix groups, Discrete Math. 310 (2010), 408-416; doi: 10.1016/j.disc.2009.03.005, abstract

• (Editor) Research problems from the BCC21, Discrete Math. 310 (2010), 347-354; doi: 10.1016/j.disc.2009.04.016

• (with T. Prellberg and D. Stark) Asymptotic enumeration of 2-covers and line graphs, Discrete Math. 310 (2010), 230-240; doi: 10.1016/j.disc.2008.09.008; arXiv 0707.0664, abstract

• The making of To Infinity and Beyond! (with Chris Budd, Stephen Cooter and David Spiegelhalter), Mathematics Today 46 (2010), 120-123.

• Book review: Before Sudoku: The World of Magic Squares by Seymour S. Block and Santiago A. Tavares, Oxford University Press, 2009, in London Math. Soc. Newsletter 395 (2010), 35.

• A generalisation of t-designs, Discrete Math. 309 (2009), 4835-4842; doi: 10.1016/j.disc.2008.07.005, abstract

• Decompositions of complete multipartite graphs, Discrete Math. 309 (2009), 4185-4186; doi: 10.1016/j.disc.2008.10.021, abstract

• Root systems and optimal block designs, Michigan Math. J. 58 (2009), 181-194; doi: 10.1307/mmj/1242071687, abstract

• Oligomorphic permutation groups, in Perspectives in Mathematical Sciences II: Pure Mathematics (ed. N. S. Narasimha Sastry, T. S. S. R. K. Rao, Mohan Delampady and B. Rajeev), World Scientific, Singapore, 2009, pp. 37-61; ISBN 978-981-4273-64-0; abstract

• (with C. Buchheim and T. Wu) On the subgroup distance problem, Discrete Math. 309 (2009), 962-968; doi: 10.1016/j.disc.2008.01.036, abstract

• (with S. Riis and T. Wu) On the guessing number of shift graphs, J. Discrete Algorithms 7 (2009), 220-226; doi: 10.1016/j.jda.2008.09.009

• (with R. A. Bailey) Combinatorics of optimal designs, in Surveys in Combinatorics 2009 (ed. S. Huczynska, J. D. Mitchell and C. M. Roney-Dougal), London Math. Soc. Lecture Notes 365, Cambridge University Press 2009, pp. 19-73; abstract

• (with Ross Applegate) Orbits on n-tuples, Communications in Algebra 37 (2009), 269-275; doi: 10.1080/00927870802243739, abstract

• Finite geometry and permutation groups: some polynomial links, Rendiconti Accademia Nazionale delle Scienze detta dei XL, Memorie du Matematica e Applicazioni 125 (2009), 25-36 (reprint of article in Rendiconti di Matematica (VII) 26 (2006), 339-350); abstract

• Book review: The Unfinished Game: Pascal, Fermat and the Seventeenth-Century Letter that Made the World Modern by Keith Devlin, Times Higher Education 7 May 2009, 50-51.

• Across the Banks peninsula, Strider 113 (2009), 30-32.

• Walking and maths in Banff, Strider 115 (2009), 59-61.

2008

• (with Priscila A. Kazanidis) Cores of symmetric graphs, J. Australian Math. Soc. 85 (2008), 145-154; doi: 10.1017/S1446788708000815, abstract

• Designs (III.14, pp. 172-173) and Gödel's Theorem (V.15, pp. 700-702) in Princeton Companion to Mathematics (ed. W. T. Gowers), Princeton University Press, 2008.

• (with Robert F. Bailey) On the single-orbit conjecture for uncoverings-by-bases, J. Group Theory 11 (2008), 845-850; doi: 10.1515/JGT.2008.053, abstract

• (with Daniel Johannsen, Thomas Prellberg and Pascal Schweitzer) Counting defective parking functions, Electronic J. Combinatorics 15(1) (2008), #R92 (15pp); arXiv 0803.0302, abstract

• (with Sam Tarzi) Limits of cubes, Topology and its Applications 155 (2008), 1454-1461; doi: 10.1016/j.topol.2008.03.022, abstract

• (with R. A. Bailey and R. Connelly) Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and Hamming codes, American Math. Monthly 115 (2008), 383-404; Chinese translation Shuxue Yilin (Mathematical Advance in Translation) 29 (2009), 21-39; abstract

• (with B. Jackson and J. Rudd) Orbit-counting polynomials for graphs and codes, Discrete Math. 308 (2008), 920-930; doi: 10.1016/j.disc.2007.07.108, abstract

• (Editor, with Douglas B. West) Research problems from BCC20, Discrete Math. 308 (2008), 621-630; doi: 10.1016/j.disc.2007.07.021

• (with D. Gewurz and F. Merola) Product action, Discrete Math. 308 (2008), 386-394; doi: 10.1016/j.disc.2006.11.054; abstract

• Introduction to Algebra (2nd edition), Oxford University Press:
  • Hardback: ISBN13: 9780198569138; ISBN10: 0198569130
  • Paperback: ISBN13: 9780198527930; ISBN10: 0198527934

• (with J. H. van Lint) Graphs, Codes and Designs (paperback reissue, Cambridge University Press, 2008; first published in London Math. Soc Lecture Note Series 43, 1980). ISBN: 9780521231411.

2007

• (with Ashley Montanaro, Michael W. Newman, Simone Severini and Andreas Winter) On the quantum chromatic number of a graph, Electronic Journal of Combinatorics 14(1) (2007), #R82 (15pp); arXiv 0608016, abstract

• (with Natalia Iyudu) Graphs of relations and Hilbert series, J. Symbolic Computation 42 (2007), 1066-1078; doi: 10.1016/j.jsc.2007.07.006; arXiv 0801.3013, abstract

• (with Pablo Spiga) Min-wise independent families with respect to any linear order, Communications in Algebra 35 (2007), 3026-3033; doi: 10.1080/00927870701404812, abstract

• (with R. A. Bailey) What is a design? How should we classify them? Designs, Codes, Crypt. 44 (2007), 223-238; doi: 10.1007/s10623-007-9092-3, abstract

• (with A. Rudvalis) A design and a geometry for the group F₂₂, Designs, Codes, Crypt. 44 (2007), 11-14; doi: 10.1007/s10623-007-9041-1, abstract

• (with Leonard Soicher) Block intersection polynomials, Bull. London Math. Soc. 39 (2007), 559-564; doi: 10.1112/blms/bdm034, abstract

• (with T. Wu) The complexity of the Weight Problem for permutation groups, Electr. Notes Discrete Math. 28 (2007), 109-116; doi: 10.1016/j.endm.2007.01.034

• (with K. K. Kayibi) Orbital chromatic and flow roots, Combinatorics, Probability and Computing 16 (2007), 401-407; doi: 10.1017/S0963548306008200, abstract

• (with J. Cilleruelo and O. Serra) On monochromatic solutions of equations in groups, Revista Matemática Iberoamericana 23 (2007), 385-395; abstract

• Aspects of infinite permutation groups, in Groups St Andrews 2005 volume 1 (ed. C. M. Campbell, M. R. Quick, E. F. Robertson and G. C. Smith), London Math. Soc. Lecture Notes 339, Cambridge Univ. Press, Cambridge, 2007, pp. 1-35; ISBN 0-521-69469-8; abstract

• (with R. A. Bailey) A family of balanced incomplete-block designs with repeated blocks on which general linear groups act, J. Combinatorial Designs 15 (2007), 143-150; doi: 10.1002/jcd.20120, abstract

• Orbit counting and the Tutte polynomial, Combinatorics, Complexity and Chance (ed. G. Grimmett and C. McDiarmid), Oxford Lecture Series in Mathematics and Its Applications 34, Oxford University Press, 2007, pp.1-10; ISBN: 9780198571278

• Maths matters: Publishing and assessing mathematics, Gazette of the Australian Mathematical Society 34 (2007), 253-257

• Book review: The Mathematician's Brain: A Personal Tour through the Essentials of Mathematics and Some of the Great Brains behind them by David Ruelle, and How Mathematicians Think: Using Ambiguity, Contradiction and Paradox to Create Mathematics by William Byers, both Princeton University Press 2007, Times Higher, 14 September 2007, 24-25.

• Parallelisms of Complete Designs (paperback reissue, Cambridge University Press, 2007; first published in London Math. Soc Lecture Note Series 23, 1976). ISBN: 97805212116043.

2006

• Finite geometry and permutation groups: some polynomial links, Rendiconti di Matematica (VII) 26 (2006), 339-350.

• (with Bridget S. Webb) Infinite designs, in Handbook of Combinatorial Designs, 2nd edition (ed. C. J. Colbourn and J. Dinitz), Discrete Mathematics and its Applications 42, Chapman & Hall/CRC, 2006, Chapter VI.30 (pp.504-505); ISBN: 1584885068.

• (with Michel M. Deza) Designs and Matroids, in Handbook of Combinatorial Designs, 2nd edition (ed. C. J. Colbourn and J. Dinitz), Discrete Mathematics and its Applications 42, Chapman & Hall/CRC, 2006, Chapter VII.10 (pp.847-851); ISBN: 1584885068.

• Matrix groups, chapter 67 in Handbook of Linear Algebra (ed. L. Hogben), Discrete Mathematics and its Applications 39, Chapman & Hall/CRC, 2006; ISBN: 1584885106.

• (with R. A. Bailey, P. Dobcsányi, J. P. Morgan, and L. H. Soicher) Designs on the Web, Discrete Math. 306 (2006), 3014-3027; doi: 10.1016/j.disc.2004.10.027; abstract

• (with A. E. Brouwer, W. H. Haemers and D. A. Preece) Self-dual, not self-polar, Discrete Math. 306 (2006), 3051-3053; doi: 10.1016/j.disc.2004.11.027; abstract

• (with H. R. Maimani, G. R. Omidi and B. Tayfeh-Rezaie) 3-designs from PSL(2,q), Discrete Math. 306 (2006), 3063-3073; doi: 10.1016/j.disc.2005.06.041; abstract

• (with Charles R. Johnson), The number of equivalence classes of symmetric sign patterns, Discrete Math. 306 (2006), 3074-3077; doi: 10.1016/j.disc.2004.10.029; abstract

• (editor) Problem session from Combinatorics, Linear Algebra and Graph Coloring (Tehran 2003), Discrete Math. 306 (2006), 3174-3179; doi: 10.1016/j.disc.2006.06.002

• (with T. Prellberg and D. Stark) Asymptotics for incidence matrix classes, Electronic J. Combinatorics 13 (2006), #R85 (19pp.); arXiv 0510155, abstract

• (with A. M. Vershik) Some isometry groups of the Urysohn space, Ann. Pure Appl. Logic 143 (2006), 70-78; doi: 10.1016/j.apal.2005.08.001; arXiv 0407186, abstract

• (with A. W. Dent) Orbit-homogeneity in permutation groups, Bull. London Math. Soc. 38 (2006), 597-606; doi: 10.1112/S0024609306018601; abstract

• (with T. Prellberg and D. Stark) Asymptotic enumeration of incidence matrices, Journal of Physics: Conference Series 42 (2006), 59-70; doi: 10.1088/1742-6596/42/1/007; arXiv 0511008, abstract

• (with G. R. Omidi and B. Tayfeh-Rezaie) 3-designs from PGL(2,q), Electronic J. Combinatorics 13 (2006), #R50 (11pp.)

• (with J. Sheehan and P. Spiga) Semiregular automorphisms of vertex-transitive cubic graphs, Europ. J. Combinatorics 27 (2006), 924-930; doi: 10.1016/j.ejc.2005.04.008, abstract

• (with J. Nešetřil) Homomorphism-homogeneous relational structures, Combinatorics, Probability and Computing 15 (2006), 91-103; doi: 10.1017/S0963548305007091, abstract

• (with Norbert Knarr) Tubes in PG(3,q), Europ. J. Combinatorics 27 (2006), 114-124; doi: 10.1016/j.ejc.2004.07.001, abstract

2005

• (with T. W. Müller) A descent principle in modular subgroup arithmetic, J. Pure Appl. Algebra 203 (2005), 189-203; doi: 10.1016/j.jpaa.2005.03.013; abstract

• Embedding partial Steiner triple systems so that their automorphisms extend, J. Combinatorial Designs 13 (2005), 466-470; doi: 10.1002/jcd.20057; abstract

• (with R. A. Bailey) Crested products of association schemes, J. London Math. Soc. 72 (2005), 1-24; doi: 10.1112/S0024610705006666; abstract

• (with Ian M. Wanless) Covering radius for sets of permutations, Discrete Math. 293 (2005), 91-109; doi: 10.1016/j.disc.2004.08.024; abstract

• (editor) Research problems from the 19th British Combinatorial Conference, Discrete Math. 293 (2005), 313-320; doi: 10.1016/j.disc.2005.02.006

• Tribute to Roland Fraïssé, Discrete Math. 291 (2005), 3; doi: 10.1016/j.disc.2004.10.004

• The random graph has the strong small index property, Discrete Math. 291 (2005), 41-43; doi: 10.1016/j.disc.2004.04.018; abstract

• Partitions and permutations, Discrete Math. 291 (2005), 45-54; doi: 10.1016/j.disc.2004.04.019; abstract

• Book review: Spectral Generalizations of Line Graphs: on graphs with least eigenvalue −2 by D. Cvetkovic, P. Rowlinson and S. Simic, Bull. London Math. Soc. 37 (2005), 479-480; doi: 10.1112/S0024609305224463

2004

• (with Lowell Beineke and Robin Wilson) Introduction, in Topics in Algebraic Graph Theory (ed. L. W. Beineke and R. J. Wilson), Cambridge Univ. Press, Cambridge, 2004 (ISBN 0521801974), pp.1-29.

• Automorphisms of graphs, in Topics in Algebraic Graph Theory (ed. L. W. Beineke and R. J. Wilson), Cambridge Univ. Press, Cambridge, 2004 (ISBN 0521801974), pp.137-155; abstract

• Strongly regular graphs, in Topics in Algebraic Graph Theory (ed. L. W. Beineke and R. J. Wilson), Cambridge Univ. Press, Cambridge, 2004 (ISBN 0521801974), pp. 203-221; abstract

• Combinatorics and Groups: Peter Cameron's IPM Lecture Notes, IPM Lecture Notes Series 4, Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, 2004, 86pp.

• (with T. W. Müller) A cohomological property of p-groups, Archiv der Mathematik 82 (2004), 200-204; doi: 10.1007/s00013-003-4865-z; abstract

• (with S. Tarzi) Switching with more than two colours, Europ. J. Combinatorics 25 (2004), 169-177; doi: 10.1016/S0195-6698(03)00097-0; abstract

• Topology in permutation groups, in Groups: Topological, Combinatorial and Arithmetic Aspects (ed. T. W. Müller), London Math. Soc. Lecture Notes 311, Cambridge University Press, Cambridge, 2004, pp. 93-105; abstract

2003

• Combinatoria, in Storia della scienza (editor-in-chief Sandro Petruccioli), Istituto della Enciclopedia Italiana (10 vols), Roma, 2001-2004, Vol. IX (2003), pp. 335-344.

• (with P. Dobcsányi, J. P. Morgan and L. H. Soicher) The External Representation of Block Designs, version 1.1, 2003.

• Random strongly regular graphs?, Discrete Math. 273 (2003), 101-112; doi: 10.1016/S0012-365X(02)00804-X abstract

• (with C. Y. Ku) Intersecting families of permutations, Europ. J. Combinatorics 24 (2003), 881-890; doi: 10.1016/S0195-6698(03)00078-7; abstract

• Coherent configurations, association schemes, and permutation groups, pp. 55-71 in Groups, Combinatorics and Geometry (ed. A. A. Ivanov, M. W. Liebeck and J. Saxl), World Scientific, Singapore, 2003; abstract

• (with S. Majid) Braided line and counting fixed points of GL(d,F_q), Communications in Algebra 31 (2003), 2003-2013; arXiv 0112258

• (with P. P. Alejandro and R. A. Bailey) Association schemes and permutation groups, Discrete Math. 266 (2003), 47-67; doi: 10.1016/S0012-365X(02)00798-7; abstract

• Multi-letter Youden rectangles from quadratic forms, Discrete Math. 266 (2003), 143-151; doi: 10.1016/S0012-365X(02)00804-X; abstract

• (editor) Research problems from the eighteenth British Combinatorial Conference, Discrete Math. 266 (2003), 441-451; doi: 10.1016/S0012-365X(02)00826-9

• Book review: Four Colours Suffice: How the Map Problem was Solved by Robin Wilson, London Math. Soc. Newsletter 315 (2003), 25-26.

2002

• (with Philippe Cara) Independent generating sets and geometries for symmetric groups, J. Algebra 258 (2002), 641-650; doi: 10.1016/S0021-8693(02)00550-1; abstract

• Homogeneous permutations, Electronic J. Combinatorics 9(2) (2002), #R2 (9pp); abstract

• Permutations, pp. 205-239 in Paul Erdős and his Mathematics, Vol. II (ed. G. Halász, L. Lovász, M. Simonovits and V. T. Sós), Bolyai Society Mathematical Studies 11, Springer, Berlin, 2002; abstract

• (with Michael Giudici, Gareth A. Jones, William M. Kantor, Mikhail H. Klin, Dragan Marusic and Lewis A. Nowitz) Transitive permutation groups without semiregular subgroups, J. London Math. Soc. (2) 66 (2002), 325-333; abstract; doi: 10.1112/S0024610702003484

• (with Dudley Stark) A prolific construction of graphs with the n-e.c. property, Electronic J. Combinatorics 9(1) (2002), #R31 (12pp); abstract

• Permutation groups, pp. 86-89 in The Concise Handbook of Algebra (ed. A. V. Mikhalev and G. F. Pilz), Kluwer, Dordrecht, 2002.

• (with Anthony Bonato, Dejan Delic and Stéphan Thomassé) Generalized pigeonhole properties of graphs and oriented graphs, European J. Combinatorics 23 (2002), 257-274; doi: 10.1006/eujc.2002.0574; abstract

• (with Bridget S. Webb) What is an infinite design?, J. Combinatorial Design 10 (2002), 79-91; abstract

• Cycle index, weight enumerator and Tutte polynomial, Electronic J. Combinatorics 9(1) (2002), #N2 (10pp); abstract

• Book review: Number Theoretic Density and Logical Limit Laws by Stanley M. Burris, in Bull. London Math. Soc. 34 (2002), 243-244; doi: 10.1112/S002460930121100X

2001

• The random graph revisited, in European Congress of Mathematics, Barcelona, July 10-14, 2000, Volume II (ed. C. Casacuberta, R. M. Miró-Roig, J. Verdera and S. Xambó-Descamps), Birkhäuser, Basel, 2001, pp. 267-274; abstract, full text

• (with Wilfrid Hodges) Some combinatorics of imperfect information, J. Symbolic Logic 66 (2001), 673-684; abstract

• Permutation groups whose non-identity elements have k fixed points, J. Group Theory 4 (2001), 45-51; abstract

• Fixed points and cycles, pp. 49-60 in Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference (ed. A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel and J. A. Thas), Kluwer, Boston, 2001; abstract

• (editor) Problems from the 17th British Combinatorial Conference, Discrete Math. 231 (2001), 469-478.

2000

• (with A. Bonato and D. Delic) Tournaments and orders with the pigeonhole property, Canadian Math. Bull. 43 (2000), 397-405.

• Some counting problems related to permutation groups, Discrete Math. 225 (2000), 77-92; doi: 10.1016/S0012-365X(00)00148-5; abstract

• (with Csaba Szabó) Independence algebras, J. London Math. Soc. (2) 61 (2000), 321-334; abstract; doi: 10.1112/S0024610799008546

• Homogeneous Cayley objects, European J. Combinatorics 21 (2000), 745-760; doi: 10.1006/eujc.1999.0380; abstract

• (editor) Problems on discrete metric spaces, European J. Combinatorics 21 (2000), 831-838; doi: 10.1006/eujc.1999.0387; abstract

• (with L. Babai) Automorphisms and enumeration of switching classes of tournaments, Electronic J. Combinatorics 7(1) (2000), article #R38; abstract

• Sequences realized by oligomorphic permutation groups, Journal of Integer Sequences 3 (2000), article 00.1.5; abstract

• (with J. P. Bell, E. A. Bender and L. B. Richmond) Asymptotics for the probability of connectedness and the distribution of number of components, Electronic J. Combinatorics 7(1) (2000), article #R33.

• Book review: Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture by D. M. Bressoud, Proc. Edinburgh Math. Soc. 43 (2000), 665-666.

• Permutation Groups, London Math. Soc. Student Texts 45, Cambridge University Press, Cambridge, 1999, 232pp. ISBN:
  • 0 521 65302 9 (Hardback)
  • 0 521 65378 9 (Paperback)

• Sets, Logic and Categories, Springer Undergraduate Mathematics Series, Springer-Verlag, London, 1999, viii+180pp. ISBN: 1-85233-056-2.

• (Editor) Problems from the Sixteenth British Combinatorial Conference, Discrete Math. 197/198 (1999), 799-812.

• (with E. A. Bender, A. M. Odlyzko and L. B. Richmond) Connectedness, classes and cycle index, Combinatorics, Probability and Computing 8 (1999), 31-43; abstract

• (with P. Erdős) Notes on sum-free and related sets, Combinatorics, Probability and Computing 8 (1999), 95-107; abstract

• An extremal problem related to biplanes, Australasian J. Combinatorics 20 (1999), 97-100; abstract

• SGDs with doubly transitive automorphism group, J. Graph Theory 32 (1999), 229-233; abstract

• Book review: Erdős on graphs: his legacy of unsolved problems by F. Chung and R. Graham, Nieuw Archief voor Wiskunde (3) 17 (1999), 289-290.

1998

• Introduction to Algebra, Oxford University Press, Oxford, 1998, x+295pp. ISBN:
  • 0-19-850195-1 (Hardback)
  • 0-19-850194-3 (Paperback)

• On an algebra related to orbit-counting, J. Group Theory 1 (1998), 173-179; abstract

• (with N. J. Calkin) Almost odd random sum-free sets, Combinatorics, Probability and Computing 7 (1998), 27-32; abstract

• A census of infinite distance-transitive graphs, Discrete Math. 192 (1998), 11-26; abstract

1997

• (with A. R. Calderbank, W. M. Kantor and J. J. Seidel) Z₄-Kerdock codes, orthogonal spreads, and extremal Euclidean line systems, Proc. London Math. Soc. (3) 75 (1997), 436-480; abstract; doi: 10.1112/S0024611597000403

• The random graph, pp. 331-351 in The Mathematics of Paul Erdős (ed. R. L. Graham and J. Nesetril), Springer, Berlin, 1997; abstract

• First-order logic, pp. 70-85 in Graph Connections: Relationships between graph theory and other areas of mathematics (ed. L. W. Beineke, R. J. Wilson), Oxford Univ. Press, Oxford 1997; abstract

• Groups, pp. 128-140 in Graph Connections: Relationships between graph theory and other areas of mathematics (ed. L. W. Beineke, R. J. Wilson), Oxford Univ. Press, Oxford 1997; abstract

• On the probability of connectedness, Discrete Math. 167/168 (1997), 173-185; doi: 10.1016/S0012-365X(96)00226-9; abstract

• Finite geometry after Aschbacher's Theorem: PG(n,q) from a Kleinian viewpoint, pp. 43-61 in Geometry, Combinatorial Designs and Related Structures: Proceedings of the First Pythagorean Conference (ed. J.W.P. Hirschfeld, S.S. Magliveras, M.J. di Resmini), Cambridge University Press, Cambridge, 1997; abstract

• The algebra of an age, pp. 126-133 in Model Theory of Groups and Automorphism Groups (ed. David M. Evans), London Mathematical Society Lecture Notes 244, Cambridge University Press, Cambridge, 1997; abstract

• Oligomorphic groups and homogeneous graphs, pp. 23-74 in Graph Symmetry: Algebraic Methods and Applications (ed. Gena Hahn and Gert Sabidussi), NATO ASI Series C, Vol. 497, Kluwer, Dordrecht, 1997; abstract

• Cofinitary permutation groups, pp. 16-21 in Proceedings of the First Jamaican Conference on Group Theory (ed. T. Foguel and J. Minty), University of the West Indies, Kingston, 1997.

• Aspects of cofinitary permutation groups, pp. 93-99 in Advances in Algebra and Model Theory (ed. M. Droste and R. Gobel), Gordon and Breach, 1997; abstract

1996

• Cofinitary permutation groups, Bull. London Math. Soc. 28 (1996), 113-140; abstract; doi: 10.1112/blms/28.2.113

• Metric and topological aspects of the symmetric group of countable degree, Europ. J. Combinatorics 17 (1996), 135-142; doi: 10.1006/eujc.1996.0012; abstract

• Stories about groups and sequences, Designs, Codes, Cryptography 8 (1996), 109-134; abstract

• Stories from the Age of Reconstruction, Congressus Numerantium 113 (1996), 31-41.

• Cycle-closed permutation groups, J. Algebraic Combinatorics 5 (1996), 315-322; abstract

1995

• Counting two-graphs related to trees, Electronic J. Combinatorics 2 (1995), #R4.

• (with F. Buekenhout) Projective and affine geometry over division rings, pp. 27-62 in Handbook of Incidence Geometry (ed. F. Buekenhout), Elsevier, Amsterdam, 1995.

• Note on large sets of infinite Steiner systems, J. Combinatorial Design 3 (1995), 307-311.

• (with D. Ghinelli) Tubes of even order and flat π.C₂ geometries, Geometriae Dedicata 55 (1995), 265-278; full text

• Sequence operators from groups, Linear Algebra and Applications 226/228 (1995), 109-113; doi: 10.1016/0024-3795(95)00352-R abstract

• (Editor) Research problems (Problems from the Fourteenth British Combinatorial Conference), Discrete Math. 138 (1995), 405-411.

• (with D. G. Fon-Der-Flaass) Bases for permutation groups and matroids, Europ. J. Combinatorics 16 (1995), 537-544; doi: 10.1016/0195-6698(95)90035-7; abstract

• (with D. G. Fon-Der-Flaass) Orbits of antichains revisited, Europ. J. Combinatorics 16 (1995), 545-554; doi: 10.1016/0195-6698(95)90036-5

• Permutation groups, pp. 611-645 in Handbook of Combinatorics (ed. R. L. Graham, M. Grötschel and L. Lovász), Elsevier, Amsterdam, 1995.

• Finite geometries, pp. 647-691 in Handbook of Combinatorics (ed. R. L. Graham, M. Grötschel amd L. Lovász), Elsevier, Amsterdam, 1995.

1994

• (with J. J. Seidel and S. V. Tsaranov) Signed graphs, root lattices and Coxeter groups, J. Algebra 164 (1994), 173-209; doi: 10.1006/jabr.1994.1059

• Combinatorics: Topics, Techniques, Algorithms, Cambridge University Press, Cambridge, 1994. ISBN
  • 0 521 45133 7 (hardback);
  • 0 521 45761 0 (paperback)

• Ovoids in infinite incidence structures, Arch. Math. 62 (1994), 189-192.

• (with A. Beutelspacher) Transfinite methods in geometry, Bull. Belgian Math. Soc. 1 (1994), 337-347.

• How few entries determine any Latin square? Bull. Inst. Combinatorics Appl. 10 (1994), 63-65.

• An orbit theorem for Steiner triple systems, Discrete Math. 125 (1994), 97-100; doi: 10.1016/0012-365X(94)90148-1

• Two-graphs and trees, Discrete Math. 127 (1994), 63-74; doi: 10.1016/0012-365X(92)00468-7

• Infinite linear spaces, Discrete Math. 129 (1994), 29-41; doi: 10.1016/0012-365X(92)00503-J

• Coloured spheres and quantum mechanics, Bull. Inst. Combinatorics Appl. 11 (1994), 126-128.

• Bases in permutation groups, pp. 181-198 in Automorphisms of First-Order Structures (ed. R. Kaye and H. D. Macpherson), Oxford University Press, Oxford, 1994.

1993

• Permutation Groups, Tempus Lecture Notes 6 (Discrete Mathematics and Applications), University of East Anglia, Norwich 1993.

• (with G. Korchmàros) One-factorizations of complete graphs with a doubly transitive automorphism group, Bull. London Math. Soc. 25 (1993), 1-6; doi: 10.1112/blms/25.1.1

• (with W. M. Kantor) Random permutations: Some group-theoretic aspects, Combinatorics, Probability and Computing 2 (1993), 257-262.

• Some multiply transitive permutation groups, Coding Theory, Design Theory, Group Theory: Proceedings of the Marshall Hall Conference (ed. D. Jungnickel and S. A. Vanstone), 1-11, Wiley, New York, 1993.

• (with C. Martins) A theorem on reconstructing random graphs, Combinatorics, Probability and Computing 2 (1993), 1-9.

• (with C. E. Praeger) Block-transitive t-designs, I: point-imprimitive designs, Discrete Math. 118 (1993), 33-43; doi: 10.1016/0012-365X(93)90051-T

• (with C. E. Praeger) Block-transitive t-designs, II: large t, Finite Geometry and Combinatorics (ed. A. Beutelspacher et al.), Cambridge Univ. Press, 1993.

• (with C. E. Praeger and N. C. Wormald) Highly arc-transitive digraphs and universal covering digraphs, Combinatorica 13 (1993), 377-396; full text

1992

• (editor, with H. C. A. van Tilborg) A Collection of Contributions in Honour of Jack van Lint, Topics in Discrete Math. 7, North-Holland, Amsterdam, 1992.

• (with A. M. Cohen) On the number of fixed point free elements in a permutation group, in: A Collection of Contributions in Honour of Jack van Lint (ed. P. J. Cameron and H. C. A. van Tilborg), Topics in Discrete Math. 7, North-Holland, Amsterdam, 1992, pp. 135-138; doi: 10.1016/0012-365X(92)90540-V

• (with J. A. Thas and A. Blokhuis) On a generalization of a theorem of B. Segre, Geometriae Dedicata 43 (1992), 299-305; full text

• (with C. E. Praeger) Partitioning into Steiner systems, pp. 61-71 in Combinatorics '88 (ed. A. Barlotti et al.), Mediterranean Press, Roma, 1992.

• Quasi-symmetric designs possessing a spread, pp. 231-236 in Combinatorics '88 (ed. A. Barlotti et al.), Mediterranean Press, Roma, 1992.

• (with T. Kataoka and M. Kiyota) Sharp characters of finite groups of type {-1,1}, J. Algebra 152 (1992), 248-258; doi: 10.1016/0021-8693(92)90099-8

• Extended generalised quadrangles – a survey, Sankhya: The Indian Journal of Statistics 54 (1992), 89-95.

• Almost all quasigroups have rank 2, Discrete Math. 106/107 (1992), 111-115; doi: 10.1016/0012-365X(92)90537-P

• Infinite geometric groups of rank 4, Europ. J. Combinatorics 13 (1992), 87-88.

1991

• (with J. H. van Lint) Graphs, Codes, Designs and their Links, London Math. Soc. Student Texts 22, Cambridge Univ. Press, 1991.

• Projective and Polar Spaces, QMW Maths Notes 13, QMW, London, 1991.

• Several 2-(46, 6, 3) designs, Discrete Math. 87 (1991), 89-90; doi: 10.1016/0012-365X(91)90075-D

• The age of a relational structure, Discrete Math. 95 (1991), 49-67; doi: 10.1016/0012-365X(91)90329-Z

• Covers of graphs and EGQs, Discrete Math. 97 (1991), 83-92; doi: 10.1016/0012-365X(91)90424-Z

• (with J. J. Cannon) Fast recognition of doubly transitive groups, J. Symbolic Comput. 12 (1991), 459-474.

• Infinite permutation groups in enumeration and model theory, Proc. International Congress of Mathematicians (Kyoto 1990), 1431-1441, Springer-Verlag, Tokyo, 1991.

• (with F. C. Bussemaker, J. J. Seidel and S. V. Tsaranov) Tables of Signed Graphs, Technical Report 91-WSK-01, Eindhoven University of Technology, 1991.

• (with J. I. Hall) Some groups generated by transvection subgroups, J. Algebra, 140 (1991), 184-209; doi: 10.1016/0021-8693(91)90153-Y

1990

• Oligomorphic Permutation Groups, London Math. Soc. Lecture Notes 152, Cambridge Univ. Press, 1990.

• (with P. Erdős) On the number of sets of integers with various properties, Number Theory (ed. R. A. Mollin), 61-79, de Gruyter, Berlin, 1990.

• (with D. R. Hughes and A. Pasini) Extended generalized quadrangles, Geometriae Dedicata 35 (1990), 193-228; full text

• (with P. H. Fisher) Small extended generalized quadrangles, Europ. J. Combinatorics 11 (1990), 403-413; doi: 10.1016/S0195-6698(13)80023-6

• Some sequences of integers, Discrete Math. 75 (1989), 85-102; doi: 10.1016/0012-365X(89)90081-2

• Groups of order-automorphisms of the rational numbers with prescribed scale type, J. Math. Psychol. 33 (1989), 163-171.

• A problem on integer matrices, Linear Algebra Appl. 114 (1989), 199-206; doi: 10.1016/0024-3795(89)90460-6

• (with S. R. Thomas) Groups acting on unordered sets, Proc. London Math. Soc. (3) 59 (1989), 541-557; doi: 10.1112/plms/s3-59.3.541

• (with P. Frankl and W. M. Kantor) Intersecting families of finite sets and fixed-point-free 2-elements, Europ. J. Combinatorics 10 (1989), 149-160; doi: 10.1016/S0195-6698(89)80042-3

• (with R. Solomon and A. Turull) Chains of subgroups in symmetric groups, J. Algebra 127 (1989), 340-352; doi: 10.1016/0021-8693(89)90256-1

1988

• (with F. Mazzocca and F. Meshulam) Dual blocking sets in projective and affine planes. Geometriae Dedicata 27 (1988), 203-207; full text

• Metric and geometric properties of sets of permutations, Algebraic, Extremal and Metric Combinatorics (ed. M.-M. Deza, P. Frankl and I. G. Rosenberg), 39-53, LMS Lecture Notes 131, Cambridge Univ. Press, Cambridge, 1988.

• (with M. Deza and N. M. Singhi) Infinite geometric groups and sets, pp. 54-61 in Algebraic, Extremal and Metric Combinatorics (ed. M.-M. Deza, P. Frankl and I. G. Rosenberg), LMS Lecture Notes 131, Cambridge Univ. Press, Cambridge, 1988.

• (with M. Kiyota) Sharp characters of finite groups, J. Algebra 115 (1988), 125-143; doi: 10.1016/0021-8693(88)90285-2

• (with M. Deza and P. Frankl) Intersection theorems in permutation groups, Combinatorica 8 (1988), 249-260.

• Geometric sets of permutations, Geometriae Dedicata 25 (1988), 339-351.

1987

• (with A. M. Chetwynd and J. J. Watkins) Decomposition of snarks, J. Graph Theory 11 (1987), 13-19.

• Portrait of a typical sum-free set, Surveys in Combinatorics (ed. C. Whitehead), 13-42, LMS Lecture Notes 123, Cambridge Univ. Press, Cambridge, 1987.

• Some treelike objects, Quart. J. Math. Oxford (2) 38 (1987), 155-183; doi: 10.1093/qmath/38.2.155

• On the structure of a random sum-free set, Probab. Theory Rel. Fields 76 (1987), 523-531.

• (with K. W. Johnson) An investigation of countable B-groups, Math. Proc. Cambridge Philos. Soc. 102 (1987), 223-232; doi: 10.1017/S0305004100067256

• (with M. Deza and P. Frankl) Sharp sets of permutations, J. Algebra 111 (1987), 220-247; doi: 10.1016/0021-8693(87)90252-3

• Digraphs admitting sharply edge-transitive automorphism groups, Europ. J. Combinatorics 8 (1987), 357-365; doi: 10.1016/S0195-6698(87)80043-4

• Some permutation representations of a free group, Europ. J. Combinatorics 8 (1987), 257-260.

1986

• (with A. L. Wells, Jr.) Signatures and signed switching classes, J. Combinatorial Theory (B) 40 (1986), 344-361; doi: 10.1016/0095-8956(86)90088-2

• (with F. Mazzocca) Bijections which preserve blocking sets, Geometriae Dedicata 21 (1986), 219-229; full text

• Regular orbits of permutation groups on the power set, Discrete Math. 62 (1986), 307-309; doi: 10.1016/0012-365X(86)90218-9

1985

• Infinite versions of some topics in finite geometry, Geometric Combinatorics (ed. F. C. Holroyd and R. J. Wilson), 13-20, Pitman, San Francisco, 1985.

• Cyclic automorphisms of a countable graph and random sum-free sets, Graphs and Combinatorics 1 (1985), 129-135; full text

• (with H. D. Macpherson) Rank three permutation groups with rank three subconstituents, J. Combinatorial Theory (B) 39 (1985), 1-16; doi: 10.1016/0095-8956(85)90034-6

• (with L. G. Kovács, M. F. Newman and C. E. Praeger) Fixed-point-free permutations in transitive permutation groups of prime power order, Quart. J. Math. Oxford (2) 36 (1985), 273-278; doi: 10.1093/qmath/36.3.273

• Four lectures on projective geometry, Finite Geometries (ed. C. A. Baker and L. M. Batten), 27-63, Marcel Dekker, New York, 1985.

• (with D. E. Taylor) Stirling numbers and affine equivalence, Ars Combinatoria 20B (1985), 3-14.

1984

• (with R. A. Bailey, A. G. Chetwynd, D. E. Daykin, A. J. W. Hilton, F. C. Holroyd, J. H. Mason, R. Nelson, C. A. Rowley and D. R. Woodall) On the intricacy of combinatorial construction problems, Discrete Math. 50 (1984), 71-97; doi: 10.1016/0012-365X(84)90036-0

• (with P. M. Neumann and J. Saxl) On groups with no regular orbits on the set of subsets, Arch. Math. 43 (1984), 295-296.

• Aspects of the random graph, Graph Theory and Combinatorics (ed. B. Bollobás), 65-79, Academic Press, London, 1984.

1983

• Orbits of permutation groups on unordered sets, III: imprimitive groups, J. London Math. Soc. (2) 27 (1983), 229-237; doi: 10.1112/jlms/s2-27.2.229

• Orbits of permutation groups on unordered sets, IV: homogeneity and transitivity, J. London Math. Soc. (2) 27 (1983), 238-247; doi: 10.1112/jlms/s2-27.2.238

• (with J. Saxl) Permuting unordered subsets, Quart. J. Math. Oxford (2) 34 (1983), 167-170; doi: 10.1093/qmath/34.2.167

• (with C. E. Praeger, J. Saxl and G. M. Seitz) On the Sims conjecture and distance-transitive graphs, Bull. London Math. Soc. 15 (1983), 499-506; doi: 10.1112/blms/15.5.499

• Automorphism groups of graphs, Selected Topics in Graph Theory II (ed. L. W. Beineke and R. J. Wilson), 89-127, Academic Press, London, 1983.

• (with C. E. Praeger) On 2-arc transitive graphs of girth 4, J. Combinatorial Theory (B) 35 (1983), 1-11; doi: 10.1016/0095-8956(83)90075-8

1982

• (with C. E. Praeger) Graphs and permutation groups with projective subconstituents, J. London Math. Soc. (2) 25 (1982), 62-74; doi: 10.1112/jlms/s2-25.1.62

• Dual polar spaces, Geometriae Dedicata 12 (1982), 75-85; full text

• (with J. H. van Lint) On the partial geometry pg(6, 6, 2), J. Combinatorial Theory (A) 32 (1982), 252-255; doi: 10.1016/0097-3165(82)90024-3

• (with P. M. Neumann and D. N. Teague) On the degrees of primitive permutation groups, Math. Z. 180 (1982), 141-149; full text

• There are only finitely many finite distance-transitive graphs of given valency greater than two, Combinatorica 2 (1982), 9-13; full text

• (with R. A. Liebler), Tactical decompositions and orbits of projective groups, Linear Algebra Appl. 46 (1982), 91-102; doi: 10.1016/0024-3795(82)90029-5

• Colour schemes, Ann. Discrete Math. 15 (1982), 81-95; doi: 10.1016/S0304-0208(08)73255-9

• Orbits, enumeration and colouring, Combinatorial Mathematics IX (ed. E. J. Billington, S. Oates-Williams and A. P. Street), 34-66, Lecture Notes in Math. 952, Springer-Verlag, Berlin, 1982.

• (with L. Babai and P. P. Pálfy) On the orders of primitive groups with bounded non-abelian composition factors, J. Algebra 79 (1982), 161-168; doi: 10.1016/0021-8693(82)90323-4

• Some aspects of ``post-classification'' geometry, Finite Geometries (ed. N. L. Johnson, M. J. Kallaher and C. T. Long), 113-127, Marcel Dekker, New York, 1982.

• Orbits and enumeration, Combinatorial Theory (ed. D. Jungnickel and K. Vedder), 86-99, Lecture Notes in Math. 969, Springer-Verlag, Berlin, 1982.

• Book review: Ordered Permutation Groups by A. M. W. Glass, Bull. London Math. Soc. 14 (1982), 463-464.

1981

• (editor, with J. W. P. Hirschfeld and D. R. Hughes) Finite Geometries and Designs, London Math. Soc. Lecture Notes 49, Cambridge Univ. Press, Cambridge, 1981.

• Finite permutation groups and finite simple groups, Bull. London Math. Soc. 13 (1981), 1-22; doi: 10.1112/blms/13.1.1

• Orbits of permutation groups on unordered sets, II, J. London Math. Soc. (2) 23 (1981), 249-265; doi: 10.1112/jlms/s2-23.2.249

• Flat embeddings of near 2n-gons, Finite Geometries and Designs (ed. P. J. Cameron, J. W. P. Hirschfeld and D. R. Hughes), 61-71, London Math. Soc. Lecture Notes 49, Cambridge Univ. Press, Cambridge, 1981.

• (with E. E. Bannai and J. Kahn) Nonexistence of certain distance-transitive digraphs, J. Combinatorial Theory (B) 31 (1981), 105-110; doi: 10.1016/0095-8956(80)90063-5

• (with L. Babai, M. Deza and N. M. Singhi) On sharply edge-transitive permutation groups, J. Algebra 73 (1981), 573-585; doi: 10.1016/0021-8693(81)90336-7

• Normal subgroups of infinite multiply transitive permutation groups, Combinatorica 1 (1981), 343-347; full text

1980

• (with J. H. van Lint) Graphs, Codes and Designs, London Math. Soc. Lecture Notes 43, Cambridge Univ. Press, Cambridge, 1980.

• 6-transitive graphs, J. Combinatorial Theory (B) 28 (1980), 168-179; doi: 10.1016/0095-8956(80)90063-5

• Extremal results and configuration theorems for Steiner systems, Ann. Discrete Math. 7 (1980), 43-63; doi: 10.1016/S0167-5060(08)70170-5

• A note on generalized line graphs, J. Graph Theory 4 (1980), 243-245; doi: 10.1002/jgt.3190040213.

• On graphs with given automorphism group, Europ. J. Combinatorics 1 (1980), 91-96; doi: 10.1016/S0195-6698(80)80043-6

• (with D. A. Drake) Partial λ-geometries of small nexus, Ann. Discrete Math. 6 (1980), 19-29; doi: 10.1016/S0167-5060(08)70692-7

• Strongly regular graphs, Selected Topics in Graph Theory (ed. L. W. Beineke and R. J. Wilson), 337-360, Academic Press, London, 1979.

• A combinatorial toolkit for permutation groups, Relations between Combinatorics and Other Parts of Mathematics (ed. D. K. Ray-Chaudhuri), 77-96, Proc. Symp. Pure Math. 34, Amer. Math. Soc., Providence, R.I., 1979.

• Multiple transitivity in graphs, Graph Theory and Combinatorics (ed. R. J. Wilson), 38-48, Research Notes in Math. 34, Pitman, San Francisco, 1979.

• (with P. M. Neumann and J. Saxl) An interchange property in finite permutation groups, Bull. London Math. Soc. 11 (1979), 161-169; doi: 10.1112/blms/11.2.161

• (with P. Delsarte and J.-M. Goethals) Hemisystems, orthogonal configurations, and dissipative conference matrices, Philips J. Res. 34 (1979), 147-162.

• (with W. M. Kantor) 2-transitive and antiflag transitive collineation groups of finite projective spaces, J. Algebra 60 (1979), 384-422; doi: 10.1016/0021-8693(79)90090-5

• Cohomological aspects of two-graphs, II, Homological Group Theory (ed. C. T. C. Wall), 241-244, London Math. Soc. Lecture Notes 36, Cambridge Univ. Press, Cambridge, 1979.

• (with M. Deza) On permutation geometries, J. London Math. Soc. (2) 20 (1979), 373-386; doi: 10.1112/jlms/s2-20.3.373

1978

• (with W. M. Kantor) Rank 3 groups and biplanes, J. Combinatorial Theory (A) 24 (1978), 1-23; doi: 10.1016/0097-3165(78)90041-9

• (with J.-M. Goethals and J. J. Seidel) The Krein condition, spherical designs, Norton algebras and permutation groups, Proc. Kon. Nederl. Akad. Wetensch. (A) 81 (1978), 196-206; 10.1016/S1385-7258(78)80010-9

• Orbits of permutation groups on unordered sets, J. London Math. Soc. (2) 17 (1978), 410-414; doi: 10.1112/jlms/s2-17.3.410

• On doubly transitive permutation groups of degree prime squared plus one, J. Austral. Math. Soc. (A) 26 (1978), 317-318; doi: 10.1017/S1446788700011824

• (with J.-M. Goethals and J. J. Seidel) Strongly regular graphs having strongly regular subconstituents, J. Algebra 55 (1978), 257-280; doi: 10.1016/0021-8693(78)90220-X

1977

• (editor) Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference, Academic Press, London, 1977.

• Permutation groups on unordered sets, Higher Combinatorics (ed. M. Aigner), 217-239, D. Reidel, Dordrecht, 1977.

• Automorphisms and cohomology of switching classes, J. Combinatorial Theory (B) 22 (1977), 297-298; doi: 10.1016/0095-8956(77)90079-X

• A note on triple transitive graphs, J. London Math. Soc. (2) 15 (1977), 197-198; doi: 10.1112/jlms/s2-15.2.197

• Extensions of designs: variations on a theme, Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference (ed. P. J. Cameron), 23-43, Academic Press, London, 1977.

• Cohomological aspects of two-graphs, Math. Z. 157 (1977), 101-119; full text

• (with R. H. F. Denniston) A partition system, Ars Combinatoria 4 (1977), 285-287.

1976

• Parallelisms of Complete Designs, London Math. Soc. Lecture Notes 23, Cambridge Univ. Press, Cambridge, 1976.

• Transitivity of permutation groups on unordered sets, Math. Z. 148 (1976), 127-139; full text

• On basis-transitive Steiner systems, J. London Math. Soc. (2) 13 (1976), 393-399; doi: 10.1112/jlms/s2-13.3.393

• Embedding edge-coloured complete graphs in binary affine spaces, J. Combinatorial Theory (A) 21 (1976), 203-215; doi: 10.1016/0097-3165(76)90064-9

• (with J.-M. Goethals, J. J. Seidel and E. E. Shult) Line graphs, root systems and elliptic geometry, J. Algebra 43 (1976), 305-327; doi: 10.1016/0021-8693(76)90162-9

• (with J. A. Thas and S. E. Payne) Polarities of generalized hexagons and perfect codes, Geometriae Dedicata 5 (1976), 525-528; full text

1975

• (with J. H. van Lint) Graph Theory, Coding Theory and Block Designs, London Math. Soc. Lecture Notes 19, Cambridge Univ. Press, Cambridge, 1975.

• Partial quadrangles, Quart. J. Math. Oxford (2) 26 (1975), 61-73; doi: 10.1093/qmath/26.1.61

• On groups of degree n and n−1, and highly symmetric edge colourings, J. London Math. Soc. (2) 9 (1975), 385-391; doi: 10.1112/jlms/s2-9.3.385

Minimal edge-colourings of complete graphs, J. London Math. Soc. (2) 11 (1975), 337-346; doi: 10.1112/jlms/s2-11.3.337
• (with J. I. Hall, J. H. van Lint, T. A. Springer and H. C. A. van Tilborg) Translates of subgroups of the multiplicative group of a finite field, Proc. Kon. Nederl. Akad. Wetensch. (A) 78 (1975), 285-289; doi: 10.1016/1385-7258(75)90000-1

• (with D. A. Preece) Some new fully-balanced Graeco-Latin Youden "squares", Utilitas Math. 8 (1975), 193-204.

• Two remarks on Steiner systems, Geometriae Dedicata 4 (1975), 403-418; full text

1974

• Characterisations of some Steiner systems, parallelisms and biplanes, Math. Z. 136 (1974), 31-39; full text

• Locally symmetric designs, Geometriae Dedicata 3 (1974), 65-76; full text

• Suborbits in transitive permutation groups, Combinatorics (ed. M. Hall Jr. and J. H. van Lint), Part 3, 98-129, Math. Centre Tracts 57, Math. Centre, Amsterdam, 1974.

• Permutation groups with multiply transitive suborbits, II, Bull. London Math. Soc. 6 (1974), 136-140; doi: 10.1112/blms/6.2.136

• On a theorem of Livingstone and Wagner, Math. Z. 137 (1974), 343-350; full text

• Generalisation of Fisher's inequality to fields with more than one element, Combinatorics (ed. T. P. McDonough and V. C. Mavron), 9-13, London Math. Soc. Lecture Notes 13, Cambridge Univ. Press, Cambridge, 1974.

1973

• Questions about symmetric designs, Combinatorics (ed. D. R. Woodall and D. J. A. Welsh), 38-46, IMA, Southend-on-Sea, 1973.

• (with J. J. Seidel) Quadratic forms over GF(2), Proc. Kon. Nederl. Akad. Wetensch. (A) 76 (1973), 1-8; doi: 10.1016/1385-7258(73)90014-0

• Extending symmetric designs, J. Combinatorial Theory (A) 14 (1973), 215-220; doi: 10.1016/0097-3165(73)90023-X

• Primitive groups with most suborbits doubly transitive, Geometriae Dedicata 1 (1973), 434-446; full text

• Biplanes, Math. Z. 131 (1973), 85-101; full text

• Near-regularity conditions for designs, Geometriae Dedicata 2 (1973), 213-223; full text

• Another characterisation of the small Janko group, J. Math. Soc. Japan 25 (1973), 591-595; full-text

1972

• Bounding the rank of certain permutation groups, Math. Z. 124 (1972), 343-352; full text

• Permutation groups with multiply transitive suborbits, Proc. London Math. Soc. (3) 25 (1972), 427-440; doi: 10.1112/plms/s3-25.3.427

• On groups with several doubly transitive permutation representations, Math. Z. 128 (1972), 1-14; full text

• On groups with two triply transitive permutation representations, J. London Math. Soc. (2) 6 (1972), 122-128; doi: 10.1112/jlms/s2-6.1.122

1969

• Proofs of some theorems of W. A. Manning, Bull. London Math. Soc. 1 (1969), 349-352; doi: 10.1112/blms/1.3.349