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Volume :16 Issue : 2 1989      Add To Cart                                                                    Download

A note on groups acting on connected graphs

Auther : M. I. KHANFAR AND R. M. S. MAHMUD

Department of Mathematics, Yarmouk University. Irbid, Jordan; and Department of

Mathematics, Bahrain University,  P.O. Box 32038 Manama. State of Bahrain

 

 

ABSTRACT

 

Serre (1977) gave the definition of a graph under the condition that no edge is equal to its

inverse. He also defined the action of a group on a graph under the condition that no element of the group transforms any edge to its inverse. In this paper we drop these conditions to give a new definition of a graph and then establish a result obtained under the action of a group acting on a connected graph.

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