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The distance signless Laplacian spectral radius of trees with n-3 pendent vertices

  • School of Mathematics and Computation Sciences, Anqing Normal College, Anqing 246011, China

Cite this: JUSTC, 2014, 44(3): 176-180
https://doi.org/10.3969/j.issn.0253-2778.2014.03.002
Funds: Supported by National Natural Science Foundation of China (11071002), NFS of Anhui Province (11040606M14), NSF of Department of Education of Anhui Province (KJ2011A195, KJ2010B136).
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  • Corresponding author:

    YU Guidong (corresponding author), female, born in 1973, PhD. Research field: Graph theory.

  • Received Date: November 25, 2013
  • Revised Date: February 17, 2014
  • Accepted Date: February 17, 2014
  • Published Date: March 29, 2014
    Abstract
  • The distance signless Laplacian spectral radius of a connected graph G is the spectral radius of the distance signless Laplacian matrix of G, defined as Q(G)=Tr(G)+D(G), where Tr(G) is the diagonal matrix of vertex transmissions of G, and D(G) is the distance matrix of G. It was investigated that the minimum of the distance signless Laplacian spectral radius among all trees with n-3 pendent vertices, and characterized that the unique tree whose distance signless Laplacian spectral radius is the maximum (minimum) among some trees with n-3 pendent vertices.
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