This is the first full-length book on the major theme of symmetry in graphs. Forming part of
algebraic graph theory, this fast-growing field is concerned with the study of highly …

For each finite classical group G, we classify the subgroups of G which act transitively on a G-
invariant set of subspaces of the natural module, where the subspaces are either totally …

Strongly regular graphs (SRGs) provide a fertile area of exploration in algebraic
combinatorics, integrating techniques in graph theory, linear algebra, group theory, finite …

We consider the problem of which distance-regular graphs with small valency are Cayley
graphs. We determine the distance-regular Cayley graphs with valency at most $4 $, the …

A pseudo‐hyperoval of a projective space, q even, is a set of subspaces of dimension such
that any three span the whole space. We prove that a pseudo‐hyperoval with an irreducible …

Let G be a finite group and X a (di) graph. If there exists a semiregular subgroup G¯ of the
automorphism group Aut (X) isomorphic to G with n orbits on V (X) then the (di) graph X is …

The classification of flag-transitive generalized quadrangles is a long-standing open
problem at the interface of finite geometry and permutation group theory. Given that all …

Bamberg and Giudici (2011) showed that the point graphs of certain generalised
quadrangles of order (q− 1, q+ 1), where q= pk is a prime power with p≥ 5, are both normal …

A partial difference set SS in a finite group GG such that S= S^-1 S= S-1 and 1 ∉ S 1∉ S
corresponds to an undirected strongly regular Cayley graph Cay (G, S). Cay (G, S). Very few …

A generalized quadrangle is a point-line incidence geometry such that any two points lie on
at most one line and, given a line ℓ and a point P not incident with ℓ, there is a unique point …