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The elliptic Sombor energy of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 مرداد 1404 اصل مقاله (439.93 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30210.2361 | ||
| نویسندگان | ||
| Dilbak Mohammad* 1؛ Delbrin Ahmed2؛ Muwafaq Salih2 | ||
| 1Department of Mathematics, College of Science, University of Duhok, Duhok, Kurdistan Region,Iraq | ||
| 2Department of Mathematics, College of Basic Education, University of Duhok, Duhok, Kurdistan Region,Iraq | ||
| چکیده | ||
| The elliptic Sombor index is a topological index based on vertex degree introduced by Gutman. Suppose $G=(V(G), E(G))$ is a finite, connected, and simple graph with $V(G)=\{w_1, w_2, \dots, w_p\}$. Suppose $d_{G}(w_i)$ is the degree of $w_i$, for $1\leq i \leq p$. We use $ES(G)$ to represent the Sombor elliptic matrix $G$ which is a $p\times p$ matrix and its $(i, j)$-entry is equal to $(d_{G}(w_{i})+d_{G}(w_{j}))\sqrt{d_{G}^{2}(w_{i})+d_{G}^{2}(w_{j})}$ if $w_{i}w_{j}\in E(G)$, and zero otherwise. We introduce and investigate the elliptic Sombor energy and elliptic Sombor Estrada index, both base on the eigenvalues of the elliptic Sombor matrix. In addition, we prove some bounds for these new graph invariants. | ||
| کلیدواژه‌ها | ||
| Sombor index؛ energy of graphs؛ topoligical indices | ||
| مراجع | ||
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