有向图的斜拉普拉斯(斜邻接)谱半径的边界

IF 0.6 Q3 MATHEMATICS
H. A. Ganie
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引用次数: 7

摘要

对于具有$n$顶点和$m$边的简单连通图$G$,设$overrightarrow{G}$是通过给$G$ $的边一个任意方向而得到的有向图。在本文中,我们考虑有向图$ overrighrow {G}$的斜拉普拉斯/斜邻接矩阵。我们根据与有向图$overrightarrow{G}$ $的结构相关的各种参数(如定向度,平均定向度)获得了斜拉普拉斯/斜邻接谱半径的上界。我们也得到了斜向图$overright row{G}$的斜向拉普拉斯/斜向邻接谱半径的上界和下界。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bounds for the skew Laplacian (skew adjacency) spectral radius of a digraph
‎‎For a simple connected graph $G$ with $n$ vertices and $m$ edges‎, ‎let $overrightarrow{G}$ be a digraph obtained by giving an arbitrary direction to the edges of $G$‎. ‎In this paper‎, ‎we consider the skew Laplacian/skew adjacency matrix of the digraph $overrightarrow{G}$‎. ‎We obtain upper bounds for the skew Laplacian/skew adjacency spectral radius‎, ‎in terms of various parameters (like oriented degree‎, ‎average oriented degree) associated with the structure of the digraph $overrightarrow{G}$‎. ‎We also obtain upper and lower bounds for the skew Laplacian/skew adjacency spectral radius‎, ‎in terms of skew Laplacian/skew adjacency rank of the digraph $overrightarrow{G}$‎.
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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
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