Some properties on the harmonic index of molecular trees
type: Item
instance of: scholarly article
title: Some properties on the harmonic index of molecular trees
zbMATH Open document ID: 1298.92124
DOI: 10.1155/2014/781648
author: Shaoqiang Liu
author: Jianxi Li
published in: ISRN Applied Mathematics
publication date: 2014-11-11T00:00:00Z
review text: Summary: The harmonic index 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 the vertex \(u\) in \(G\). In this paper, some general properties of the harmonic index for molecular trees are explored. Moreover, the smallest and largest values of harmonic index for molecular trees with given pendent vertices are provided, respectively.
Mathematics Subject Classification ID: 92E10
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 6368361
Wikidata QID: Q59048507
describes a project that uses: GRAFFITI
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/781648
OpenAlex ID: W1963970468
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description: scientific article; zbMATH DE number 6368361