Bicyclic digraphs with maximal energy

被引:18
作者
Monsalve, Juan [1 ]
Rada, Juan [1 ]
机构
[1] Univ Antioquia Medellin, Inst Matemat, Medellin, Colombia
关键词
Energy; Bicyclic digraphs; Extremal values; SPECTRAL-RADIUS;
D O I
10.1016/j.amc.2016.01.037
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
If D is a digraph with n vertices then the energy of D is defined as epsilon(D) = Sigma(n)(k=1) vertical bar Re(z(k))vertical bar, where Re (z(1)), ..., Re(z(n)) are the real parts of the eigenvalues z(1), ..., z(n) of D. In this paper we solve a problem proposed in Khan et al. (2015), we find the maximal value of the energy over the set of all bicyclic digraphs B-n with n vertices. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:124 / 131
页数:8
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