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
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
  • [1] Improved Upper Bounds for the Laplacian Spectral Radius of a Graph
    Wang, Tianfei
    Yang, Jin
    Li, Bin
    ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
  • [2] Sharp upper bounds on the spectral radius of the signless Laplacian matrix of a graph
    Maden, A. Dilek
    Das, Kinkar Ch.
    Cevik, A. Sinan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5025 - 5032
  • [3] On the Laplacian spectral radius of a graph
    Liu, HQ
    Lu, M
    Tian, F
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 376 : 135 - 141
  • [4] Bounds for the Laplacian spectral radius of graphs
    Liu, Huiqing
    Lu, Mei
    LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (01): : 113 - 119
  • [5] BOUNDS FOR SIGNLESS LAPLACIAN SPECTRAL RADIUS
    Nurkahli, Semiha Basdas
    Kabatas, Ulkunur
    Kizilca, Fatma
    JOURNAL OF SCIENCE AND ARTS, 2018, (03): : 631 - 644
  • [6] Bounds on the (Laplacian) spectral radius of graphs
    Shi, Lingsheng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 422 (2-3) : 755 - 770
  • [7] Bounds for the (Laplacian) spectral radius of graphs with parameter α
    Gui-Xian Tian
    Ting-Zhu Huang
    Czechoslovak Mathematical Journal, 2012, 62 : 567 - 580
  • [8] Lower bounds for the Laplacian spectral radius of graphs
    Afshari, B.
    Saadati, M. T.
    Saadati, R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 631 : 136 - 142
  • [9] Bounds for the (Laplacian) spectral radius of graphs with parameter α
    Tian, Gui-Xian
    Huang, Ting-Zhu
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (02) : 567 - 580
  • [10] Sharp upper and lower bounds for the Laplacian spectral radius and the spectral radius of graphs
    Guo, Ji-ming
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2008, 24 (02): : 289 - 296