Peter Cameron's preprints

Here you find links to lecture notes and miscellaneous writings. See other pages for:

Not-so-recent preprints

(For recent preprints, follow the link above to the arXiv.)

(Editor) Problems from BCC22 (PDF)
Generating a group by a transversal (PDF)
The power graph of a finite group, II (PDF)
(with Robert F. Bailey) Base size, metric dimension and other invariants of groups and graphs (PDF)
(with Shamik Ghosh) The power graph of a finite group (PDF)
(with T. Gateva-Ivanova) Multipermutation solutions of the Yang–Baxter equation (PDF from arXiv)
(with R. A. Bailey) Combinatorics of optimal designs [draft of BCC paper] (PDF)
Decompositions of complete multipartite graphs (PDF)
Oligomorphic permutation groups (PDF)
(with Daniel Johannsen, Thomas Prellberg and Pascal Schweitzer) Counting defective parking functions (arXiv)
(with Ross Applegate) Orbits on n-tuples (PDF)
(with Priscila Kazanidis) Cores of symmetric graphs (PDF)
(with Sam Tarzi) Filters, topologies and groups from the random graph (PDF)
(with Robert F. Bailey) On the single-orbit conjecture for uncoverings-by-bases (PDF)
(with Sam Tarzi) On the automorphism group of the m-coloured random graph (PDF)
(with Thomas Prellberg and Dudley Stark) Asymptotic enumeration of 2-covers and line graphs (PDF)
Root systems and optimal block designs (PDF)
Permutation codes (PDF)
(edited) Problems from the Luminy conference on combinatorics, geometry and computer science (PDF)
A generalisation of t-designs (PDF)
(with R. A. Bailey) What is a design? How should we classify them? (PDF)
(with A. Rudvalis) A design and a geometry for the Fischer group Fi₂₂ (PDF)
(with Christoph Buchheim and Taoyang Wu) On the subgroup distance problem (PDF)
(with D. Lockett) Posets, homomorphisms and homogeneity (PDF)
(with Leonard H. Soicher) Block intersection polynomials (PDF)
(with Sam Tarzi) Limits of cubes (PDF)
(with A. Montanaro, M. W. Newman, S. Severini and A. Winter) On the quantum chromatic number of a graph (arXiv)
(with Taoyang Wu) The complexity of the Weight Problem for permutation and matrix groups (PDF)
(with M. Kang and D. Stark) Random preorders and alignments (PDF)
(with K. K. Kayibi) Orbital chromatic and flow roots (PDF)
(with R. A. Bailey and R. Connelly) Sudoku, gerechte designs, resolutions, affine space, spreads, reguli, and Hamming codes (PDF)
(with J. Cilleruelo and O. Serra) On monochromatic solutions of equations in groups (PDF)
(with T. Prellberg and D. Stark) Asymptotic enumeration of incidence matrices (arXiv)
(with T. Prellberg and D. Stark) Asymptotics for incidence matrix classes (arXiv)
(with R. A. Bailey) A family of balanced incomplete-block designs with repeated blocks on which general linear groups act (PDF)
Aspects of infinite permutation groups (lectures at Groups St Andrews 2005) (PDF)
(with Bill Jackson and Jason Rudd) Orbit-counting polynomials for graphs and codes (PDF)
(with John Sheehan and Pablo Spiga) Semiregular automorphisms of vertex-transitive cubic graphs (PostScript)
(with Dudley Stark) Random preorders (PDF)
Embedding partial Steiner triple systems so that their automorphisms extend (PDF)
(with S. Akbari and G. B. Khosrovshahi) Ranks and signatures of adjacency matrices (PDF)
Designs and Gödel's Theorem, two articles in PDF for Princeton Companion to Mathematics
Finite geometry and permutation groups: some polynomial links (PDF)
The Rado graph and the Urysohn space (PDF)
(with A. M. Vershik) Some isometry groups of Urysohn space (arXiv)
(with Pablo Spiga) Min-wise independent groups with respect to any linear order (PDF)
(with J. Nesetril) Homomorphism-homogeneous relational structures (PDF)
(with R. A. Bailey, Peter Dobcsányi, John P. Morgan and Leonard H. Soicher), Designs on the Web (PDF)
(with A. E. Brouwer, W. H. Haemers and D. A. Preece) Self-dual, not self-polar (PDF)
(with Charles R. Johnson) The number of equivalence classes of symmetric sign patterns (PDF)
(with H. R. Maimani, G. R. Omidi and B. Tayfeh-Rezaie) 3-designs from PSL(2,q) (PDF)
(with Alexander W. Dent) Orbit-homogeneity (PDF)
(with Daniele A. Gewurz and Francesca Merola) Product action (PDF)
(with Sam Tarzi) Group actions on amorphous sets (PostScript)
Topology in permutation groups (PostScript)
Fixed points and cycles (DVI or PostScript)
The random graph revisited (DVI or PostScript)
Codes, matroids and trellises (DVI or PostScript)

Papers in electronic journals

(with T. Prellberg and D. Stark) Asymptotics for incidence matrix classes, Electronic J. Combinatorics 13 (2006), #R85 (19pp.)
(with G. R. Omidi and B. Tayfeh-Rezaie) 3-designs from PGL(2,q), Electronic J. Combinatorics 13 (2006), #R50 (11pp.)
Homogeneous permutations, Electronic J. Combinatorics 9(2) (2002), #R2 (9pp.)
(with Dudley Stark) A prolific construction of graphs with the n-e.c. property, Electronic J. Combinatorics 9(1) (2002), #R31 (12pp.)
Cycle index, weight enumerator and Tutte polynomial, Electronic J. Combinatorics 9(1) (2002), #N2 (10pp.)
Random strongly regular graphs? Electronic Notes in Discrete Math. 10 (ed. Jaroslav Nesetril, Marc Noy and Oriol Serra), Elsevier, Amsterdam, 2001 (preprint)
(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), #R33.
(with L. Babai) Automorphisms and enumeration of switching classes of tournaments, Electronic J. Combinatorics 7(1) (2000), article #R38.
Sequences realized by oligomorphic permutation groups, Journal of Integer Sequences 3 (2000), article 00.1.5(HTML).
Counting two-graphs related to trees, Electronic Journal of Combinatorics 2 (1995), #R4 (DVI or PostScript)

Lecture Notes

Mathematical oddments

Miscellaneous

Paul Erdős: a memoir (PDF)

Reprints

Coherent configurations, association schemes, and permutation groups (PDF)
(with Anthony Bonato, Dejan Delic and Stéphan Thomassé) Generalized pigeonhole properties of graphs and oriented graphs, European Journal of Combinatorics 23 (2002), 257-274, © 2002 Academic Press (PDF) (The journal is available from http://www.idealibrary.com/)
Permutation groups whose non-identity elements have k fixed points, J. Group Theory 4 (2001), 45-51 (DVI or PostScript)
Homogeneous Cayley objects, European Journal of Combinatorics 21 (2000), 745-760, © 2000 Academic Press (DVI or PostScript) (The journal is available from http://www.idealibrary.com/)
(editor) Problems on discrete metric spaces, European J. Combinatorics 21 (2000), 831-838, © 2000 Academic Press (DVI or PostScript) (The journal is available from http://www.idealibrary.com/)
SGDs with 2-transitive automorphism groups, J. Graph Theory 32 (1999), 229--233. (DVI or PostScript)
An extremal problem related to biplanes, Australasian J. Combinatorics 20 (1999), 97-100 (DVI or PostScript)
Stories about groups and sequences, Designs, Codes, Cryptography 8 (1996), 109-134 (DVI or PostScript)
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 (DVI or PostScript)
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. de Resmini), Cambridge University Press, Cambridge, 1997 (DVI or PostScript)
(with Csaba Szabó) Independence algebras, J. London Math. Soc. (2) 61 (2000), 321-334 (DVI or PostScript)
Some counting problems related to permutation groups, Discrete Mathematics 225 (2000), 75-92 (DVI or PostScript)

Peter J. Cameron
25 April 2012