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Kyungpook Mathematical Journal 2018; 58(2): 221-229

Published online June 23, 2018

Copyright © Kyungpook Mathematical Journal.

Bounds for the First Zagreb Eccentricity Index and First Zagreb Degree Eccentricity Index

P. Padmapriya* and Veena Mathad

Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 570 006, India, e-mail: padmapriyap7@gmail.com and veena_mathad@rediffmail.com

Received: August 28, 2017; Accepted: June 8, 2018

Abstract

The first Zagreb eccentricity index E1(G) of a graph G is defined as the sum of squares of the eccentricities of the vertices. In this paper some bounds for the first Zagreb eccentricity index and first Zagreb degree eccentricity index are computed.

Keywords: eccentricity, diameter, radius, Zagreb eccentricity indices, total eccentricity of a graph