Bounds of Laplacian Spectral Radius of Mixed Graph's

被引：0
|
作者：
Cui, Shu-Yu [1 ]
机构：
[1] Heze Univ, Dept Math, Heze 274015, Shandong, Peoples R China
来源：
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年
关键词：
Mixed graph; Laplacian matrix; Spectrum;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, discomposing the Laplacian matrix of a mixed graph into the quasi-Laplacian matrix and the Laplacian matrix of an unoriented graph, we obtain a new upper bound for the Laplacian spectral radius of a mixed graph. In addition, a new lower bound for the Laplacian spectral radius of a connected mixed graph is also presented.
引用
收藏
页码：32 / 34
页数：3
相关论文
共 50 条
  • [41] The effect on the Laplacian spectral radius of a graph by adding or grafting edges
    Guo, JM
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 413 (01) : 59 - 71
  • [42] The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints
    Feng, Lihua
    Yu, Guihai
    KYUNGPOOK MATHEMATICAL JOURNAL, 2009, 49 (01): : 123 - 131
  • [43] Upper Bounds on the (Signless Laplacian) Spectral Radius of Irregular Weighted Graphs
    Shuiqun Xie
    Xiaodan Chen
    Xiuyu Li
    Xiaoqian Liu
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 2063 - 2080
  • [44] Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs
    Xian-zhang Wu
    Jian-ping Liu
    Applied Mathematics-A Journal of Chinese Universities, 2019, 34 : 100 - 112
  • [45] Sharp bounds for the signless Laplacian spectral radius in terms of clique number
    He, Bian
    Jin, Ya-Lei
    Zhang, Xiao-Dong
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (10) : 3851 - 3861
  • [46] Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs
    WU Xian-zhang
    LIU Jian-ping
    AppliedMathematics:AJournalofChineseUniversities, 2019, 34 (01) : 100 - 112
  • [47] Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs
    Wu Xian-zhang
    Liu Jian-ping
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2019, 34 (01) : 100 - 112
  • [48] TWO SHARP UPPER BOUNDS FOR THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS
    Chen, Ya-Hong
    Pan, Rong-Ying
    Zhang, Xiao-Dong
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2011, 3 (02) : 185 - 191
  • [49] Bounds on the distance signless Laplacian spectral radius in terms of clique number
    Lin, Huiqiu
    Lu, Xiwen
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (09): : 1750 - 1759
  • [50] Upper Bounds on the (Signless Laplacian) Spectral Radius of Irregular Weighted Graphs
    Xie, Shuiqun
    Chen, Xiaodan
    Li, Xiuyu
    Liu, Xiaoqian
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2063 - 2080
12345