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math.CO2026
Vertex-transitive closures of graphs
Martin Bachratý, Grahame Erskine, Štefánia Glevitzká +2
A vertex-transitive closure of is a vertex-transitive supergraph of on the same vertex set. The vertex-transitive number of a graph , denoted by , is the smal…
math.CO2021
Fragments in symmetric configurations with block size 3
Grahame Erskine, Terry Griggs, Jozef Širáň
We begin the study of collections of three blocks which can occur in a symmetric configuration with block size 3, . Formulae are derived for the number of occurrences of these…
math.CO2020★ 1 cited
Colouring problems for symmetric configurations with block size 3
Grahame Erskine, Terry Griggs, Jozef Širáň
The study of symmetric configurations with block size 3 has a long and rich history. In this paper we consider two colouring problems which arise naturally in the study of th…