Sharp bounds for the general sum-connectivity indices of transformation graphs
type: Item
instance of: scholarly article
title: Sharp bounds for the general sum-connectivity indices of transformation graphs
zbMATH Open document ID: 1401.05160
DOI: 10.1155/2017/2941615
author: Jiabao Liu
author: Shaohui Wang
author: Wei Gao
author: Shehnaz Akhter
author: M. Imran
author: Haiying Wang
author: Mohammad Reza Farahani
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: Given a graph \(G\), the general sum-connectivity index is defined as \(\chi_\alpha(G) = \sum_{u v \in E(G)} \left(d_G \left(u\right) + d_G \left(v\right)\right)^\alpha\), where \(d_G(u)\) (or \(d_G(v)\)) denotes the degree of vertex \(u\) (or \(v\)) in the graph \(G\) and \(\alpha\) is a real number. In this paper, we obtain the sharp bounds for general sum-connectivity indices of several graph transformations, including the semitotal-point graph, semitotal-line graph, total graph, and eight distinct transformation graphs \(G^{u v w}\), where \(u, v, w \in \left\{+, -\right\}\).
Mathematics Subject Classification ID: 05C35
zbMATH DE Number: 6944810
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2941615
OpenAlex ID: W2772519158
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description: scientific article; zbMATH DE number 6944810