Semisymmetric Cubic Graphs Constructed from Bi-Cayley Graphs of An

Abstract

For a group T and a subset S of T , the bi-Cayley graph BCay(T, S) of T with respect to S is the bipartite graph with vertex set T×{0, 1} and edge set {{(g, 0), (sg, 1)} | g ∈ T, s ∈ S}. In this paper, we investigate cubic bi-Cayley graphs of finite nonabelian simple groups. We give several sufficient or necessary conditions for a bi-Cayley graph to be semisymmetric, and construct several infinite families of cubic semisymmetric graphs.

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Cite this paper

@article{Lu2006SemisymmetricCG, title={Semisymmetric Cubic Graphs Constructed from Bi-Cayley Graphs of An}, author={Zaiping Lu and Changqun Wang and Mingyao Xu}, journal={Ars Comb.}, year={2006}, volume={80} }