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Improved bounds for Kirchhoff index of graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 18، دوره 8، شماره 1، خرداد 2023، صفحه 243-251 اصل مقاله (378.6 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27492.1275 | ||
| نویسندگان | ||
| Ş. Burcu Bozkurt Altındağ* 1؛ Marjan Matejić2؛ Igor Milovanović2؛ Emina Milovanović2 | ||
| 1No | ||
| 2Faculty of Electronic Engineering, University of Niš, Niš, Serbia | ||
| چکیده | ||
| Let $G$ be a simple connected graph with n vertices. The Kirchhoff index of $G$ is defined as $Kf (G) = n\sum_{i=1}^{n-1}1/μ_i$, where $\mu_1\ge \mu_2\ge \dots\ge \mu_{n-1}>\mu_n=0$ are the Laplacian eigenvalues of $G$. Some bounds on $Kf (G)$ in terms of graph parameters such as the number of vertices, the number of edges, first Zagreb index, forgotten topological index, etc., are presented. These bounds improve some previously known bounds in the literature. | ||
| کلیدواژهها | ||
| Laplacian eigenvalues (of graph)؛ topological indices؛ Kirchhoff index | ||
| مراجع | ||
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