• DISTANCE BASED CONNECTIVITY STATUS NEIGHBORHOOD INDICES OF CERTAIN GRAPHS

Abstract

Many distance based indices of a graph have been appeared in the literature. The status of a vertex u in a connected graph G is defined as the sum of the distance between u and all other vertices of G. In this paper, we introduce the sum connectivity status neighborhood index, product connectivity status neighborhood index, reciprocal product connectivity status neighborhood index, general first and second status neighborhood indices of a graph and compute their values for some standard graphs, wheel and friendship graphs.