Two-distance-primitive graphs with prime valency

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摘要

A 2-distance-primitive graph is a vertex-transitive graph satisfying that the stabilizer of a vertex is primitive on both the first step and the second step neighbourhoods. In this paper, we give a classification of the family of prime valency 2-distance-primitive graphs.

论文关键词:2-distance-primitive graph,2-distance-transitive graph,Primitive group

论文评审过程:Received 19 December 2018, Revised 20 March 2019, Accepted 25 March 2019, Available online 12 April 2019, Version of Record 12 April 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2019.03.052