2 citations · 2 across the 7 of their papers we have counts for
7 papers
New classes of groups related to algebraic combinatorics with applications to isomorphism problems
Ted Dobson
We introduce two refinements of the class of -groups, inspired by the classes of automorphism groups of configurations and automorphism groups of unit circulant digraphs. We s…
Towards inductive proofs in algebraic combinatorics
Ted Dobson
We introduce a new class of transitive permutation groups which properly contains the automorphism groups of vertex-transitive graphs and digraphs. We then give a sufficient condit…
On Factor-Invariant Graphs With Two Cycles
Brian Alspach, Ted Dobson, Afsaneh Khodadadpour +1
We classify trivalent vertex-transitive graphs whose edge sets have a partition into a 2-factor composed of two cycles and a 1-factor that is invariant under the action of the auto…
Generalised dihedral CI-groups
Ted Dobson, Mikhail Muzychuk, Pablo Spiga
In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if is a generalised dihedral group and if is a CI-group, then for every odd pri…
Classification of vertex-transitive digraphs via automorphism group
Ted Dobson, Ademir Hujdurović, Klavdija Kutnar +1
In the mid-1990s, two groups of authors independently obtained classifications of vertex-transitive graphs whose order is a product of two distinct primes. In the intervening years…
Imprimitive Permutations in Primitive Groups
J. Araújo, J. P. Araújo, P. J. Cameron +3
The goal of this paper is to study primitive groups that are contained in the union of maximal (in the symmetric group) imprimitive groups. The study of types of permutations that…
Cayley numbers with arbitrarily many distinct prime factors
Edward Dobson, Pablo Spiga
A positive integer is a Cayley number if every vertex-transitive graph of order is a Cayley graph. In 1983, Dragan Marušič posed the problem of determining the Cayley numbe…