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

• Видавець: Lugansk National Taras Shevchenko University
• Дата: 2020
• Автори: Akhter, S., Farooq, R.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2020
• Теми: general sum-connectivity index; Randi\'c index; corona product; strong product; symmetric difference; 05C76; 05C07
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/281

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....