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Some lower bounds on the Kirchhoff index | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 3، دوره 9، شماره 1، خرداد 2024، صفحه 27-36 اصل مقاله (386.18 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27898.1389 | ||
| نویسندگان | ||
| S. Stankov؛ I. Milovanović* ؛ E. Milovanović؛ M. Matejić | ||
| Faculty of Electronic Engineering, University of Niš, Niš, Serbia | ||
| چکیده | ||
| Let $G=(V,E)$, $V=\{v_1,v_2,\ldots,v_n\}$, $E=\{e_1,e_2,\ldots, e_m\}$, be a simple graph of order $n\ge 2$ and size $m$ without isolated vertices. Denote with $\mu_1\ge \mu_2\ge \cdots \ge \mu_{n-1}>\mu_n=0$ the Laplacian eigenvalues of $G$. The Kirchhoff index of a graph $G$, defined in terms of Laplacian eigenvalues, is given as $Kf(G) = n \sum_{i=1}^{n-1}\frac{1}{\mu_i}$. Some new lower bounds on $Kf(G)$ are obtained. | ||
| کلیدواژهها | ||
| Topological indices؛ Kirchhoff index؛ bounds | ||
| مراجع | ||
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