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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (7): 14-21.doi: 10.6040/j.issn.1671-9352.0.2021.321

• • 上一篇    

图的路(无符号)拉普拉斯谱半径及其能量

卢鹏丽1,栾睿1,郭育红2   

  1. 1.兰州理工大学计算机与通信学院, 甘肃 兰州 730050;2.河西学院数学与统计学院, 甘肃 张掖 734000
  • 发布日期:2022-06-29
  • 作者简介:卢鹏丽(1973— ),女,教授,博士生导师,研究方向为图论与复杂网络. E-mail:lupengli88@163.com
  • 基金资助:
    国家自然科学基金资助项目(11861045,62162040)

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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摘要： 图G的顶点集V(G)={v1,v2,…,vn},其路矩阵记为P(G)=(pij)n×n,pij表示图中vi,vj之间内部顶点不相交路径的最大数目。定义路拉普拉斯矩阵和路无符号拉普拉斯矩阵并得到了其谱半径和能量的界。

关键词: 路矩阵, 路拉普拉斯矩阵, 路无符号拉普拉斯矩阵, 谱半径, 能量

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

中图分类号: 

  • O157.5
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