The Minimum Harmonic Index for Unicyclic Graphs with Given Diameter

The harmonic index of a graph G is defined as the sum of the weights 2d(u)+d(v)${2 \over {d(u) + d(v)}}$ of all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this paper, we present the minimum harmonic index for unicyclic graphs with given diameter and characterize the correspo...

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Bibliographic Details
Main Author: Zhong Lingping
Format: Article
Language:English
Published: Sciendo 2018-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2007