JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (7): 14-21.doi: 10.6040/j.issn.1671-9352.0.2021.321

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On path(signless)Laplacian spectral radius and energy of graphs

LU Peng-li1, LUAN Rui1, GUO Yu-hong2   

  1. 1. School of Computer and Communication, Lanzhou University of Technology, Lanzhou, 730050, Gansu, China;
    2. School of Mathematics and Statistics, Hexi University, Zhangye, 734000, Gansu, China
  • Published:2022-06-29

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Abstract: Given a graph G with vertex set V(G)={v1,v2,…,vn}, a path matrix associate to G is P(G)=(pij)n×n, pij is the maximum number of interior vertex disjoint paths. The path Laplacian matrix and path signless Laplacian matrix of a connected graph is defined and the bounds of the spectral radius and energy is obtained.

Key words: path matrix, path Laplacian matrix, path signless Laplacian matrix, spectral radius, energy

CLC Number: 

  • O157.5
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