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Two results on the signless Laplacian matrix of a graph

  • School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Funds:  Supported by the Fundamental Research Funds for the Central Universities and National Natural Science Foundation of China (61272008,11271348,10871189).
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https://doi.org/10.3969/j.issn.0253-2778.2014.03.001
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  • Author Bio:

    WU Min, male, born in 1989, master. Research field: Combinatorics and graph theory. E-mail：skyblues@mail.ustc.edu.cn

  • Corresponding author: PAN Yongliang
  • Received Date: 17 September 2012
  • Accepted Date: 10 January 2013
  • Rev Recd Date: 10 January 2013
  • Publish Date: 30 March 2014
    Abstract

  • Abstract

    Let G be a simple connected graph with n vertices and m edges and Q(G) its signless Laplacian matrix. The spectral radius and the entries of the principal vector of Q(G) were investigated.

    Abstract

    Let G be a simple connected graph with n vertices and m edges and Q(G) its signless Laplacian matrix. The spectral radius and the entries of the principal vector of Q(G) were investigated.
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    • References(2)
  • [1]
    Brualdi R A, Hoffman A J. On the spectral radius of (0,1)-matrices[J]. Linear Algebra Appl, 1985, 69: 133-146.
    [2]
    Zhao S, Hong Y. On the bounds of maximal entries in the principal eigenvector of symmetric nonnegative matrix[J]. Linear Algebra Appl, 2002, 340: 245-252.
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    [1]
    Brualdi R A, Hoffman A J. On the spectral radius of (0,1)-matrices[J]. Linear Algebra Appl, 1985, 69: 133-146.
    [2]
    Zhao S, Hong Y. On the bounds of maximal entries in the principal eigenvector of symmetric nonnegative matrix[J]. Linear Algebra Appl, 2002, 340: 245-252.
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