Some properties of graphs constructed from 2-designs
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摘要
Let D=(P,B) be any nontrivial nonsymmetric 2-(v, k, λ) design. In this paper we construct a connected, regular and bipartite graph, say IGv,b(D), from D. Some graphic properties of IGv,b(D) are investigated. In particular, the results in the paper bridges the equivalency between edge-transitivity of IGv,b(D) and flag-transitivity of D. With the equivalency, it is obtained that IGv,b(D) is a semisymmetric graph as long as D is a nonsymmetric flag-transitive 2-(v, k, λ) design.
论文关键词:Design,Bipartite graph,Semisymmetric graph,Flag-transitive
论文评审过程:Received 24 November 2015, Revised 19 February 2016, Accepted 22 February 2016, Available online 21 March 2016, Version of Record 21 March 2016.
论文官网地址:https://doi.org/10.1016/j.amc.2016.02.045