SOME BOUNDS FOR ECCENTRIC VERSION OF HARMONIC INDEX OF GRAPHS

Year 2019, Volume: 1 Issue: 1, 11 - 17, 18.01.2019

Yaşar Nacaroğlu

Abstract

The harmonic iindex of graph $G$ is defined as the sum

$H(G)=\sum\limits_{ij\in E(G)}\frac{2}{d_{G}(i)+d_{G}(j)}$, where $d_{G}(i)$ is the degree of a vertex $i$ in $G$. In this paper we examined eccentric version of harmonic index of graphs.

Keywords

Topological Index; Graph Parameters; Harmonic Index.

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