Bounds on First Reformulated Zagreb Index of Graph

Document Type : Research Articles

Authors

1 Annamalai University

2 Annai Teresa College of Engineering

Abstract

The first reformulated Zagreb index $EM_1(G)$ of a simple graph $G$ is defined as the sum of the terms $(d_u+d_v-2)^2$ over all edges $uv$ of $G .$ In this paper, the various upper and lower bounds for the first reformulated Zagreb index of a connected graph interms of other topological indices are obtained.

Keywords