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Title

FINITE GROUPS ADMITTING A CONNECTED CUBIC INTEGRAL BI-CAYLEY GRAPH

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 Start Page 35 | End Page 43

Abstract

 A graph is called integral if all eigenvalues of its adjacency matrix are integers. Given a subset S of a nite group G, the Bi-Cayley graph BCay(G; S) is a graph with vertex set G  f1; 2g and edge set ff(x; 1); (sx; 2)g j s 2 S; x 2 Gg. In this paper, we classify all nite groups admitting a connected cubic integral Bi-Cayley graph.

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