# On Valency Problems of Saxl Graphs

@inproceedings{Chen2020OnVP, title={On Valency Problems of Saxl Graphs}, author={Jiyong Chen and Hongdi Huang}, year={2020} }

Abstract. Let G be a permutation group on a set Ω and recall that a base for G is a subset of Ω such that its pointwise stabiliser is trivial. In a recent paper, Burness and Giudici introduced the Saxl graph of G, denoted ΣpGq, with vertex set Ω and two vertices adjacent if they form a base. If G is transitive, then ΣpGq is vertex-transitive and it is natural to consider its valency (which we refer to as the valency of G). In this paper we present a general method for computing the valency of… Expand

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