关于“拉普拉斯类能不变量与Kirchhoff指数的比较”的评注

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

摘要

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

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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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.