Some Results On First Zagreb Eccentricity Index

Abstract

Zagreb indices are well known topological index and they act as a good topological descriptor of molecular graphs of the Chemical components. Zagreb eccentricity index is defined as similar as Zagreb indices by replacing the degree of a vertices as eccentricity of the vertices. For a connected graph , the first Zagreb eccentricity index is given as , for all . In this paper we have obtained the first Zagreb eccentricity index for the generalized complementary prisms of graphs.