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A Class of Bipartite 2-Path-Transitive Graphs

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Abstract

A graph Γ is called half-arc-transitive if it’s automorphism group Aut Γ is transitive on the vertex set and edge set, but not on the arc set of the graph Γ, and it is called 2-path-transitive if Aut Γ is transitive on the set of the 2-paths. In this paper we construct a class of 2-path-transitive graphs from some symmetric groups, based on which a new class of half-arc-transitive graphs is given.

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  1. School of mathematics, Yunnan Normal University, Kunming, 650091, People’s Republic of China

    Hua Zhang

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  1. Hua Zhang
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Correspondence to Hua Zhang.

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Zhang, H. A Class of Bipartite 2-Path-Transitive Graphs. Graphs and Combinatorics 30, 1319–1324 (2014). https://doi.org/10.1007/s00373-013-1345-5

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  • DOI: https://doi.org/10.1007/s00373-013-1345-5

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