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
相关论文
共 50 条
  • [41] Ordering the oriented unicyclic graphs whose skew-spectral radius is bounded by 2
    Chen, Ping-Feng
    Xu, Guang-Hui
    Zhang, Li-Pu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [42] A characterization of graphs with rank 4
    Chang, Gerard J.
    Huang, Liang-Hao
    Yeh, Hong-Gwa
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (08) : 1793 - 1798
  • [43] Ordering the oriented unicyclic graphs whose skew-spectral radius is bounded by 2
    Ping-Feng Chen
    Guang-Hui Xu
    Li-Pu Zhang
    Journal of Inequalities and Applications, 2013
  • [44] On the integral weighted oriented unicyclic graphs with minimum skew energy
    Gong, Shi-Cai
    Hou, Yao-Ping
    Woo, Ching-Wah
    Xu, Guang-Hui
    Shen, Xiao-Ling
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (01) : 262 - 272
  • [45] Minimal skew energy of oriented unicyclic graphs with fixed diameter
    Xiang-Hao Yang
    Shi-Cai Gong
    Guang-Hui Xu
    Journal of Inequalities and Applications, 2013
  • [46] Minimal skew energy of oriented unicyclic graphs with fixed diameter
    Yang, Xiang-Hao
    Gong, Shi-Cai
    Xu, Guang-Hui
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [47] Rank Reduction of Oriented Graphs by Vertex and Edge Deletions
    Meesum, Syed M.
    Saurabh, Saket
    ALGORITHMICA, 2018, 80 (10) : 2757 - 2776
  • [48] Rank Reduction of Oriented Graphs by Vertex and Edge Deletions
    Syed M. Meesum
    Saket Saurabh
    Algorithmica, 2018, 80 : 2757 - 2776
  • [49] The first three largest values of the spectral norm of oriented bicyclic graphs
    Wei, Kun
    Li, Jianping
    DISCRETE MATHEMATICS LETTERS, 2023, 12 : 93 - 97
  • [50] Some New Families of Oriented Regular Graphs with Maximum Skew Energy
    Rakshith B.R.
    International Journal of Applied and Computational Mathematics, 2018, 4 (3)