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.
(with Marina Anagnostopoulou-Merkouri and R. A. Bailey)
Permutation groups, partition lattices and block structures,
Forum of Mathematics Sigma, in press;
abstract; arXiv 2409.10461
(with G. Sivanesan, C. Selvaraj, T. Tamizh Chelvam and J. Laubacher)
On the metric dimension of the character degree graph of a solvable group,
Comm. Algebra, in press; doi:
10.1080/00927872.2025.2573411;
abstract;
arXiv 2411.15794
(with R. A. Bailey, N. Gavioli and C. M. Scoppola)
The derangements subgroup in a finite permutation group and the
Frobenius--Wielandt Theorem,
Proceedings in Mathematics and Statistics, in press;
abstract;
arXiv 2501.17545
Hall's marriage theorem,
J. London Math. Soc.;
arXiv 2503.23159;
abstract
(with Aparna Lakshmanan S and Ambat Vijayakumar)
The Shrikhande Graph: A Window on Discrete Mathematics,
Cambridge University Press; ISBN
9781009709101 (hardback), 9781009709088 (paperback)
(with Aparna Lakshmanan S. and Midhuna V. Ajith) Hypergraphs defined on algebraic structures,
Comm. Combinatorics Optimization11 (2026), 131-144;
doi: 10.22049/cco.2024.29607.2077;
arXiv 2303.00546;
abstract
(with Vinayak Joshi and Nilesh Khandekar)
Component graphs of vector spaces and zero-divisor graphs of ordered sets,
AKCE Int. J. Graphs Combinatorics22 (2025), 204-210; doi:
10.1080/09728600.2025.2449683;
abstract
Graphs on groups,
Pure and Applied Functional Analysis10(2) (2025), 297-306;
abstract
(with Ajay Kumar, Lavanya Selvaganesh and T. Tamizh Chelvam)
Superpower graphs of finite groups,
J. Algebra Appl. 24(9) (2025), 2550214 (18pp); doi:
10.1142/S0219498825502147;
abstract
(with Hiranya Kishore Dey)
On the order sequence of a group,
Electronic J. Combinatorics32(2) (2025), P2.9;
doi: 10.37236/13413;
arXiv 2310.06516;
abstract
(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
(with Pierre-Philippe Dechant, Yang-Hui He and John McKay)
ADE: Patterns in Mathematics,
London Math. Soc. Student Texts 109,
Cambridge University Press, Cambridge, 2025; ISBN
9781009335966 (hardback),
9781009335980 (paperback)
2024
What can graphs and algebraic structures say to each other?
AKCE Internat. J. Graphs and Combinatorics21 (2024), 249-254;
doi: 10.1080/09728600.2023.2290036;
abstract
(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 Gn,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 D. Leemans and M. E. Fernandes)
The number of string C-groups of high rank,
Advances in Mathematics453 (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 Combinatorics59 (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.
Chinese edition by Higher Education Press, Beijing, 2025.
(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 R. A. Bailey, Dário Ferreira, Sandra S. Ferreira and
Célia Nunes)
Designs for half-diallel experiments with commutative orthogonal block
structure, J. Statist. Planning Inference231 (2024), 106139; doi:
10.1016/j.jspi.2023.106139;
abstract
Graphs and groups: An Indian adventure,
London Math. Soc. Newsletter 513 (2024), 22-25.
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 Theory3(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
Combinatorics6 (2023), 1189-1210;
doi: 10.5802/alco.307;
arXiv 2208.04049;
abstract
(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 Theory102 (2023), 295-303; doi:
10.1002/jgt.22871; arXiv
2012.03789;
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
Mathematics38 (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, Cryptography90 (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 Combinatorics26 (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 Combinatorics38 (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. Algebra607 (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 Combinatorics38 (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 Ajay Kumar, Lavanya Selvaganesh and T. Tamizh Chelvam)
Recent developments on the power graph of finite groups – a survey,
AKCE Internat. J. Graphs Combinatorics18 (2021), 65-94; doi:
10.1080/09728600.2021.1953359;
abstract
(with Pallabi Manna and Ranjit Mehatari)
Forbidden subgraphs of power graphs,
Electronic J. Combinatorics28(3) (2021), Paper P3.4; doi:
10.37236/9961;
arXiv 2010.05198;
abstract
(with J. Araújo, J. P. Araújo, W. Bentz and P. Spiga)
A transversal property for permutation groups motivated by partial transformations, J. Algebra573 (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. Combinatorics28(1) (2021), paper P1.16 (15pp); doi:
10.37236/9802;
arXiv 2008.09291;
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. Algebra565 (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 Combinatorics36 (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 Statistics25 (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. Algebra545 (2020), 27-42;
doi: 10.1016/j.jalgebra.2019.02.025,
arXiv 1811.12671,
abstract
(with David Ellis and William Raynaud)
Smallest cyclically covering subspaces of
Fqn, and lower bounds in Isbell's
conjecture,
Europ. J. Combinatorics81 (2019), 242-255; doi:
10.1016/j.ejc.2019.06.004;
arXiv 1810.03485;
abstract
(with R. A. Bailey, A. L. Gavrilyuk and S. V. Goryainov)
Equitable partitions of Latin square graphs,
J. Combinatorial Designs27 (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 Combinatorics49 (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 Odmian35 (2018),
11-13.
(with Bertalan Bodor and Csaba Szabó) Infinitely many reducts of
homogeneous structures, Algebra Universalis79 (2018), article 43; doi:
10.1007/s00012-018-0526-8;
arXiv 1609.07694;
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 Mathematica74 (2018), 171-172;
doi: 10.4171/PM/2000
(with Mohammed Aljohani and John Bamberg) Synchronization and separation
in the Johnson scheme, Portugaliae Mathematica74 (2018),
213-232; doi: 10.4171/PM/2003;
arXiv 1706.01365;
abstract
(with J. Semeraro) The cycle polynomial of a permutation group,
Electronic J. Combinatorics25(1) (2018),
Paper P1.14; arXiv
1701.06954,
abstract
Book review: Chris Godsil and Karen Meagher, Erdős–Ko–Rado Theorems: Algebraic Approaches,
Mathematical Gazette102 (2018), 189-190.
2017
(with João Araújo and Benjamin Steinberg)
Between primitive and 2-transitive: Synchronization and its friends,
Europ. Math. Soc. Surveys4 (2017), 101-184; doi:
10.4171/EMSS/4-2-1;
arXiv 1511.03184;
abstract
(with Tomas Nilson) Triple arrays from difference sets,
J. Combinatorial Designs25 (2017), 494-506; doi
10.1002/jcd.21569,
arXiv 1609.00152,
abstract
(with J. Araújo, J. P. Araújo, T. Dobson, A. Hulpke and
P. Lopes)
Imprimitive permutations in primitive groups,
J. Algebra486 (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. Mathematics220 (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 An,
Proc. London Math. Soc.115 (2017), 135-176; doi:
10.1112/plms.12039;
arXiv 1605.09173,
abstract
(with R. A. Bailey, K. Filipiak, J. Kunert and A. Markiewicz) On
optimality and construction of circular repeated-measurements designs,
Statistica Sinica27 (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 Combinatorics45 (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. Soc113 (2016), 829-867; doi:
10.1112/plms/pdw040;
arXiv 1504.01629,
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. Algebra452 (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. Algebra447 (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 Combinatorics43 (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. Monthly122 (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 László Babai) Most primitive groups are full
automorphism groups of edge-transitive hypergraphs
J. Algebra421 (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 Science498 (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
(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 Communications68, Springer, 2013, pp. 45-54,
ISBN 978-1-4614-6405-1;
arXiv 1205.3717,
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 Adam Bohn and Peter Müller)
Galois groups of multivariate Tutte polynomials,
J. Algebraic Combinatorics36 (2012), 223-230; doi:
10.1007/s10801-011-0332-2;
arXiv 1006.3869,
abstract
(with A. J. W. Hilton and E. R. Vaughan)
An analogue of Ryser's Theorem for partial Sudoku squares,
J. Combinatorial Math. Combinatorial Computing80 (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. Newsletter417
(September 2012),
30
(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,
Resonance16 (2011), 392-399: on-line version
here
(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 Today46 (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. Newsletter395 (2010), 35.
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 Algorithms7 (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
Finite geometry and permutation groups: some polynomial links,
Rendiconti Accademia Nazionale delle Scienze detta dei XL,
Memorie du Matematica e Applicazioni125 (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,
Strider113 (2009), 30-32.
Walking and maths in Banff,
Strider115 (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 Theory11 (2008), 845-850; doi:
10.1515/JGT.2008.053,
abstract
(with R. A. Bailey and R. Connelly)
Sudoku, gerechte designs, resolutions, affine space, spreads, reguli,
and Hamming codes,
American Math. Monthly115 (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 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.
(with Pablo Spiga)
Min-wise independent families with respect to any linear order,
Communications in Algebra35 (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 Computing16 (2007), 401-407; doi:
10.1017/S0963548306008200,
abstract
(with J. Cilleruelo and O. Serra) On monochromatic solutions of equations in
groups, Revista Matemática Iberoamericana23 (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 Designs15 (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
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 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 Series42 (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. Combinatorics13 (2006), #R50 (11pp.)
(with J. Sheehan and P. Spiga) Semiregular automorphisms of vertex-transitive
cubic graphs, Europ. J. Combinatorics27 (2006), 924-930; doi:
10.1016/j.ejc.2005.04.008,
abstract
(with J. Nešetřil) Homomorphism-homogeneous relational
structures,
Combinatorics, Probability and Computing15 (2006), 91-103; doi:
10.1017/S0963548305007091,
abstract
(with T. W. Müller) A descent principle in modular subgroup arithmetic,
J. Pure Appl. Algebra203 (2005), 189-203; doi:
10.1016/j.jpaa.2005.03.013;
abstract
Embedding partial Steiner triple systems so that their automorphisms extend,
J. Combinatorial Designs13 (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
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 Mathematik82 (2004), 200-204; doi:
10.1007/s00013-003-4865-z;
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.
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,Fq),
Communications in Algebra31 (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
(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. Newsletter315 (2003), 25-26.
2002
(with Philippe Cara) Independent generating sets and geometries for symmetric
groups,
J. Algebra258 (2002), 641-650; doi:
10.1016/S0021-8693(02)00550-1;
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
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. Combinatorics23 (2002), 257-274; doi:
10.1006/eujc.2002.0574;
abstract
(with Bridget S. Webb) What is an infinite design?,
J. Combinatorial Design10 (2002), 79-91;
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 Logic66 (2001), 673-684;
abstract
Permutation groups whose non-identity elements have k fixed
points, J. Group Theory4 (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.
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.
(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 Computing8 (1999), 31-43;
abstract
(with P. Erdős)
Notes on sum-free and related sets,
Combinatorics, Probability and Computing8 (1999), 95-107;
abstract
On an algebra related to orbit-counting,
J. Group Theory1 (1998), 173-179;
abstract
(with N. J. Calkin) Almost odd random sum-free sets,
Combinatorics, Probability and Computing7 (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
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
Metric and topological aspects of the symmetric group of
countable degree,
Europ. J. Combinatorics17 (1996), 135-142; doi:
10.1006/eujc.1996.0012;
abstract
Stories about groups and sequences,
Designs, Codes, Cryptography8 (1996), 109-134;
abstract
Stories from the Age of Reconstruction,
Congressus Numerantium113 (1996), 31-41.
Cycle-closed permutation groups,
J. Algebraic Combinatorics5 (1996), 315-322;
abstract
(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 Design3 (1995), 307-311.
(with D. Ghinelli) Tubes of even order and flat π.C2
geometries, Geometriae Dedicata55 (1995), 265-278;
full text
(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. Combinatorics16 (1995), 537-544; doi:
10.1016/0195-6698(95)90035-7;
abstract
(with D. G. Fon-Der-Flaass) Orbits of antichains revisited,
Europ. J. Combinatorics16 (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. Algebra164 (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
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 Notes6 (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 Computing2 (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 Computing2 (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,
Combinatorica13 (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 Dedicata43 (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. Algebra152 (1992), 248-258; doi:
10.1016/0021-8693(92)90099-8
Extended generalised quadrangles – a survey, Sankhya: The Indian
Journal of Statistics54 (1992), 89-95.
(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
(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. Combinatorics10 (1989), 149-160; doi:
10.1016/S0195-6698(89)80042-3
(with R. Solomon and A. Turull) Chains of subgroups in symmetric
groups, J. Algebra127 (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 Dedicata27 (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 Notes131,
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 Notes131, Cambridge Univ. Press, Cambridge, 1988.
(with M. Kiyota) Sharp characters of finite groups, J. Algebra115 (1988), 125-143; doi:
10.1016/0021-8693(88)90285-2
(with M. Deza and P. Frankl) Intersection theorems in permutation groups,
Combinatorica8 (1988), 249-260.
Geometric sets of permutations, Geometriae Dedicata25
(1988), 339-351.
1987
(with A. M. Chetwynd and J. J. Watkins) Decomposition of snarks,
J. Graph Theory11 (1987), 13-19.
Portrait of a typical sum-free set, Surveys in Combinatorics
(ed. C. Whitehead), 13-42, LMS Lecture Notes123,
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.
Fields76 (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.
Algebra111 (1987), 220-247; doi:
10.1016/0021-8693(87)90252-3
Some permutation representations of a free group, Europ. J.
Combinatorics8 (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 Dedicata21 (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 Combinatorics1 (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
Combinatoria20B (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
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