SOME BOUNDS FOR ECCENTRIC VERSION OF HARMONIC INDEX OF GRAPHS

Authors : Yaşar NACAROĞLU

Pages : 11-17

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Publication Date : 2019-01-18

Article Type : Research Paper

Abstract :The harmonic i index of graph $G$ is defined as the sum $Hinsert ignore into journalissuearticles values(G);=\sum\limits_{ij\in Einsert ignore into journalissuearticles values(G);}\frac{2}{d_{G}insert ignore into journalissuearticles values(i);+d_{G}insert ignore into journalissuearticles values(j);}$, where $d_{G}insert ignore into journalissuearticles values(i);$ 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