关于图的拉普拉斯能量的一些下界的注释

IF 0.6 Q3 MATHEMATICS Transactions on Combinatorics Pub Date : 2019-06-01 DOI:10.22108/TOC.2019.115269.1616
I. Milovanovic, M. Matejic, P. Milošević, E. Milovanovic, Akbar Ali
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引用次数: 1

摘要

‎‎‎对于阶为$n$、大小为$m的简单连通图$G$$‎, ‎$G$的拉普拉斯能量定义为‎ ‎$LE(G)=sum_{i=1}^n|mu_i-frac{2m}{n}|$其中$mu_1‎, ‎mu_2,ldots‎,‎‎μ{n-1}‎, ‎μ{n}$‎ ‎是$G$满足$mu_1ge mu_2gecdots ge mu_{n-1}>的拉普拉斯特征值‎ ‎mu_{n}=0$‎. ‎在本注释中‎, ‎导出了图不变量$LE(G)$的一些新的下界‎. ‎将所获得的结果与$LE(G)的一些已知下界进行比较$‎.
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A note on some lower bounds of the Laplacian energy of a graph
‎‎‎For a simple connected graph $G$ of order $n$ and size $m$‎, ‎the Laplacian energy of $G$ is defined as‎ ‎$LE(G)=sum_{i=1}^n|mu_i-frac{2m}{n}|$ where $mu_1‎, ‎mu_2,ldots‎,‎‎mu_{n-1}‎, ‎mu_{n}$‎ ‎are the Laplacian eigenvalues of $G$ satisfying $mu_1ge mu_2gecdots ge mu_{n-1}>‎ ‎mu_{n}=0$‎. ‎In this note‎, ‎some new lower bounds on the graph invariant $LE(G)$ are derived‎. ‎The obtained results are compared with some already known lower bounds of $LE(G)$‎.
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来源期刊
CiteScore
0.80
自引率
0.00%
发文量
2
审稿时长
30 weeks
期刊最新文献
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