Remarks on "Comparison between the Laplacian energy-like invariant and the Kirchhoff index''

IF 0.7 4区 数学 Q2 Mathematics Electronic Journal of Linear Algebra Pub Date : 2022-02-02 DOI:10.13001/ela.2022.6383
Xiaodan Chen, Guoliang Hao
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引用次数: 0

Abstract

The Laplacian-energy-like invariant and the Kirchhoff index of an $n$-vertex simple connected graph $G$ are, respectively, defined to be $LEL(G)=\sum_{i=1}^{n-1}\sqrt{\mu_i}$ and $Kf(G)=n\sum_{i=1}^{n-1}\frac{1}{\mu_i}$, where $\mu_1,\mu_2,\ldots,\mu_{n-1},\mu_n=0$ are the Laplacian eigenvalues of $G$. In this paper, some results in the paper [Comparison between the Laplacian-energy-like invariant and the Kirchhoff index. Electron. J. Linear Algebra 31:27-41, 2016] are corrected and improved.
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关于“拉普拉斯类能不变量与Kirchhoff指数的比较”的评注
定义$n$ -顶点简单连通图$G$的类拉普拉斯能量不变量和Kirchhoff指数分别为$LEL(G)=\sum_{i=1}^{n-1}\sqrt{\mu_i}$和$Kf(G)=n\sum_{i=1}^{n-1}\frac{1}{\mu_i}$,其中$\mu_1,\mu_2,\ldots,\mu_{n-1},\mu_n=0$为$G$的拉普拉斯特征值。本文对文中的一些结果[拉普拉斯类能不变量与基尔霍夫指数的比较]进行了讨论。电子。[j] .数学学报(自然科学版),2016。
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来源期刊
CiteScore
1.20
自引率
14.30%
发文量
45
审稿时长
6-12 weeks
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