@article {
author = {Stankov, Stefan and Milovanovic, Igor and Milovanovic, Emina and Matejic, Marjan},
title = {Some lower bounds on the Kirchhoff index},
journal = {Communications in Combinatorics and Optimization},
volume = {9},
number = {1},
pages = {27-36},
year = {2024},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2022.27898.1389},
abstract = {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.},
keywords = {Topological indices,Kirchhoff index,bounds},
url = {https://comb-opt.azaruniv.ac.ir/article_14457.html},
eprint = {https://comb-opt.azaruniv.ac.ir/article_14457_a58592a69e95194a03d5fd0935bb9d4c.pdf}
}