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On the variable sum exdeg index and cut edges of graphs | ||
| Communications in Combinatorics and Optimization | ||
| دوره 6، شماره 2، اسفند 2021، صفحه 249-257 اصل مقاله (375.67 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.26865.1152 | ||
| نویسندگان | ||
| Ansa Kanwal1؛ Adnan Aslam2؛ Zahid Raza3؛ Naveed Iqbal* 4؛ Bawfeh Kometa4 | ||
| 1Knowledge Unit of Science, University of Management and Technology, Sialkot, Pakistan | ||
| 2Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), Pakistan | ||
| 3Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, UAE | ||
| 4Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il, Saudi Arabia | ||
| چکیده | ||
| The variable sum exdeg index of a graph $G$ is defined as $SEI_a(G)=\sum_{u\in V(G)}d_G(u)a^{d_G(u)}$, where $a\neq 1$ is a positive real number, $d_G(u)$ is the degree of a vertex $u\in V(G)$. In this paper, we characterize the graphs with the extremum variable sum exdeg index among all the graphs having a fixed number of vertices and cut edges, for every $a>1$. | ||
| کلیدواژهها | ||
| Molecular descriptor؛ topological index؛ variable sum exdeg index؛ cut edge؛ clique | ||
| مراجع | ||
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