Bicyclic oriented graphs with skew-rank 2 or 4

被引:19
|
作者
Qu, Hui [1 ]
Yu, Guihai [1 ,2 ,3 ]
机构
[1] Shandong Inst Business & Technol, Dept Math, Shandong 264005, Peoples R China
[2] Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC TJKLC, Tianjin 300071, Peoples R China
基金
中国博士后科学基金;
关键词
Oriented graph; Skew-adjacency matrix; Skew-rank; Rank; Bicyclic graph; MATCHING ENERGY; MAXIMAL ENERGY; CONJECTURE;
D O I
10.1016/j.amc.2015.02.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The skew-rank of oriented graph Gr(sigma), denoted by sr(Gr(sigma)), is the rank of the skew-adjacency matrix of Gr(sigma). The skew-rank is even since the skew-adjacency matrix is skew-symmetric. In this paper we characterize the bicyclic oriented graphs with skew-rank 2 or 4. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:182 / 191
页数:10
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