The harmonic index for bicyclic graphs

Authors

  • Zhong, Lingping
  • Xu, Kexiang

Abstract

The harmonic index H(G)of a graph G is defined as the sum of weights 2/d(u)+d(v)of all edges uv of G,where d(u)denotes the degree of a vertex u in G. In this' paper,we have determined the minimum and maximum harmonic indices of bicyclic graphs and characterized the corresponding graphs at which the extremal harmonic indices are attained.

Published

2013-05-09

How to Cite

Zhong, Lingping, & Xu, Kexiang. (2013). The harmonic index for bicyclic graphs. Utilitas Mathematica, 90. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/988

Issue

Vol. 90 (2013): Voluma 90, 2013

Section

Articles

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