Some properties of graphs constructed from 2-designs

Xu Yang, Lihua Feng and Weijun Liu

Applied Mathematics and Computation, 2016, vol. 284, issue C, 1-11

Abstract: 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.

Keywords: Design; Bipartite graph; Semisymmetric graph; Flag-transitive (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:284:y:2016:i:c:p:1-11

DOI: 10.1016/j.amc.2016.02.045

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