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Bounds on Sombor index and inverse sum indeg (ISI) index of graph operations | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 مرداد 1402 اصل مقاله (415.04 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28718.1684 | ||
| نویسندگان | ||
| Fareeha Jamal1؛ Muhammad Imran* 2 | ||
| 1Department of Mathematical Sciences, College of Science, United Arab Emirate University, Al Ain 15551, Abu Dhabi, UAE | ||
| 2Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates | ||
| چکیده | ||
| 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 Sombor index of $ G $ is defined as $ SO(G) = \sum_{uv \in E(G)} \sqrt{d_u^2 + d_v^2} $, whereas, the inverse sum indeg $ (ISI) $ index is defined as $ ISI(G) = \sum_{uv \in E(G)} \frac{d_{u}d_{v}}{d_{u} + d_{v}}. $ In this paper, we compute the bounds in terms of maximum degree, minimum degree, order and size of the original graphs $ G $ and $ H $ for Sombor and $ ISI $ indices of several graph operations like corona product, cartesian product, strong product, composition and join of graphs. | ||
| کلیدواژه‌ها | ||
| Sombor index؛ inverse sum indeg index؛ graph operations؛ corona product؛ cartesian product | ||
| مراجع | ||
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