Sombor index of some graph operations

	Sombor index of some graph operations
International Journal of Nonlinear Analysis and Applications
مقاله 209، دوره 13، شماره 1، خرداد 2022، صفحه 2561-2571 اصل مقاله (372.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5957
نویسندگان
Nabeel E. Arif¹؛ Akar H. Karim^* ²؛ Roslan Hasni³
¹Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq
²Mathematics Department, College of Science, University of Sulaimani, Kurdistan Region of Iraq, Iraq
³Faculty of Ocean Engineering Technology and Informatics Universiti Malaysia Terengganu 21030, Kuala Nerus, Terengganu, Malaysia
چکیده
One of the vertex-degree based topological indices is Sombor index which is denoted by $SO(G)$, and defined by $SO(G)=\sum_{uv \in E(G)}\sqrt{d_u^2+d_v^2}$ where $d_u, d_v$ are the degree of vertices $u$ and $v$ in the graph $G$ respectively. In this paper, we are focusing on computing the Sombor index of some graph operations, more precisely join and corona product of two graphs. The original graphs that have been the base of this paper are path, cycle and complete graphs.
کلیدواژه‌ها
Sombor index؛ Composed graphs؛ Corona product
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