Solution to the minimum harmonic index of graphs with given minimum degree

The harmonic index of a graph $G$ is defined as $ H(G)=sumlimits_{uvin E(G)}frac{2}{d(u)+d(v)}$‎, ‎where $d(u)$ denotes the degree of a vertex $u$ in $G$‎. ‎Let $mathcal{G}(n,k)$ be the set of simple $n$-vertex graphs with minimum degree at least $k$‎. ‎In this work we consider the problem of determ...

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Bibliographic Details
Main Authors: Meili Liang, Bo Cheng, Jianxi Liu
Format: Article
Language:English
Published: University of Isfahan 2018-06-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://toc.ui.ac.ir/article_22272_28d4f6f37d2867d952c1398e234888f8.pdf