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

• Date: 2020
• Main Authors: Akhter, S., Farooq, R.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: general sum-connectivity index; Randi\'c index; corona product; strong product; symmetric difference; 05C76; 05C07
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/281
• Journal Title: Algebra and Discrete Mathematics

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....