On relation between the Kirchhoff index and number of spanning trees of graph
Let $G$ be a simple connected graph with degree sequence $(d_1,d_2,\ldots, d_n)$ where $\Delta =d_1\geq d_2\geq\cdots\geq d_n=\delta >0$ and let $\mu_1\geq \mu_2\geq\cdots\geq\mu_{n-1}>\mu_n=0$ be the Laplacian eigenvalues of $G$. Let $Kf(G)=n\sum_{i=1}^{n-1} \frac{1}{\mu_i}$ and $\tau(G...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Azarbaijan Shahide Madani University
2020-06-01
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Series: | Communications in Combinatorics and Optimization |
Subjects: | |
Online Access: | http://comb-opt.azaruniv.ac.ir/article_13873_db13742154db832474287f8d4db11c5f.pdf |