Computing bounds for the general sum-connectivity index of some graph operations

Let \(G\) be a graph with vertex set \(V(G)\) and edge set \(E(G)\). Denote by \(d_{G}(u)\) the degree of a vertex \(u\in V(G)\). The general sum-connectivity index of \(G\) is defined as \(\chi_{\alpha}(G)=\sum_{u_{1}u_2\in E(G)}(d_{G}(u_1)+d_{G}(u_2))^{\alpha}\), where \(\alpha\) is a real number....

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Bibliographic Details
Date:2020
Main Authors: Akhter, S., Farooq, R.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2020
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/281
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics