ON THE DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS AND DIGRAPHS

被引：13

作者：

Li, Dan ^{[1
]}

Wang, Guoping ^{[2
]}

Meng, Jixiang ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2017年 / 32卷

关键词：

Distance signless Laplacian spectral radius; Bound; Extremal graph; Digraph; Vertex connectivity; BOUNDS; NUMBER;

D O I：

10.13001/1081-3810.1982

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let eta(G) denote the distance signless Laplacian spectral radius of a connected graph G. In this paper, bounds for the distance signless Laplacian spectral radius of connected graphs are given, and the extremal graph with the minimal distance signless Laplacian spectral radius among the graphs with given vertex connectivity and minimum degree is determined. Furthermore, the digraph that minimizes the distance signless Laplacian spectral radius with given vertex connectivity is characterized.

引用

页码：438 / 446

页数：9

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