s-Shunt Intersection Graph of a Graph

Abstract

The intersection graph of a family of sets \S1,S2,…,Sn\ is a graph whose vertex set is \S1,S2,…,Sn\ and two distinct vertices are adjacent if the intersection of the corresponding sets is non-empty. Different types of intersection graphs have been studied depending on the nature of sets taken as the vertex set. A study on a particular type of intersection graph called s-shunt intersection graph, generated from the s-arcs of a given graph is initiated in this paper.

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