On the spectral radius and the energy of a digraph

被引：7

作者：

Bozkurt, S. Burcu ^{[1
]}

Bozkurt, Durmus ^{[1
]}

Zhang, Xiao-Dong ^{[2
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, Konya, Turkey

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2015年 / 63卷 / 10期

基金：

美国国家科学基金会;

关键词：

spectral radius of a digraph; energy of a digraph; BOUNDS;

D O I：

10.1080/03081087.2014.896358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The energy of a digraph D is defined as E (D) = Sigma(n)(i=1) vertical bar Re (z(i))vertical bar, where z(1), ... , z(n) are the (possibly complex) eigenvalues of D. In this paper, we obtain an improved lower bound on the spectral radius of D. Considering this result, we present an upper bound on the energy of D. We also show that our results generalize and improve some known results for graphs and digraphs.

引用

页码：2009 / 2016

页数：8

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