| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1708924 | Applied Mathematics Letters | 2012 | 6 Pages |
Abstract
The harmonic index of a graph GG is defined as the sum of the weights 2d(u)+d(v) of all edges uvuv of GG, where d(u)d(u) denotes the degree of a vertex uu in GG. In this work, we present the minimum and maximum values of the harmonic index for simple connected graphs and trees, and characterize the corresponding extremal graphs.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Lingping Zhong,