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The First Leap Zagreb Coindex of Some Graph Operations | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 آذر 1402 اصل مقاله (408.11 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28395.1562 | ||
| نویسندگان | ||
| ASFIYA FERDOSE* ؛ Shivashankara K | ||
| Department of Mathematics, Yuvraja's College, University of Mysore, Mysuru-570005, India | ||
| چکیده | ||
| In the last years, Naji et al. have introduced leap Zagreb indices conceived depending on the second degrees of vertices, where the second degree of a vertex $v$ in a graph $G$ is equal to the number of its second neighbors and denoted by $d_2(v/G)$. Analogously, the leap Zagreb coindices were introduced by Ferdose and Shivashankara. The first leap Zagreb coindex of a graph is defined as $\overline{L_1}(G)=\sum_{uv\not\in E_2(G)}(d_2(u)+d_2(v))$, where $E_2(G)$ is the 2-distance (second) edge set of $G$, In this paper, we present explicit exact expressions for the first leap Zagreb coindex $\overline{L_1}(G)$ of some graph operations. | ||
| کلیدواژه‌ها | ||
| Second-degrees (of vertices)؛ Leap Zagreb indices؛ Coindices؛ Graph operations | ||
| مراجع | ||
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