Further properties of trees with minimal atom-bond connectivity index
type: Item
instance of: scholarly article
title: Further properties of trees with minimal atom-bond connectivity index
zbMATH Open document ID: 1474.05055
DOI: 10.1155/2014/609208
author: Jinsong Chen
author: Jianping Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Let \(G = (V, E)\) be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights \(((d_u + d_v - 2) / d_u d_v)^{1 / 2}\) over all edges \(u v\) of \(G\), where \(d_u\) denotes the degree of a vertex \(u\) of \(G\). In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees with \(\text{d} \text{i} \text{a} [T] = 2\) and minimal ABC index, where \([T]\) is induced by the vertices of degree greater than 2 in \(T\) and \(\text{d} \text{i} \text{a} [T]\) is the diameter of \([T]\).
Mathematics Subject Classification ID: 05C07
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 92E10
zbMATH DE Number: 7022712
Wikidata QID: Q59039907
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/609208
OpenAlex ID: W2083373576
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description: scientific article; zbMATH DE number 7022712