Bounds on Kemeny?s constant of trees with a prescribed matching number

被引：0
|
作者：
Wang, Junming [1 ]
Tao, Qiuzhenyu [2 ]
机构：
[1] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China
[2] Univ Hamburg, Geomatikum, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany
来源：
DISCRETE APPLIED MATHEMATICS | 2023年 / 333卷
关键词：
Kemeny?s constant; Random walk on a graph; Perfect matching; Matching number; GRAPH;
D O I：
10.1016/j.dam.2023.03.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Kemeny's constant is a meaningful index of the communicability in a network, which combines the long-term and short-term behavior of related Markov chains. Lorenzo Ciardo et al. provided an expression for Kemeny's constant of a tree obtained by concatenating some given rooted trees. In this paper, by extending some results of the expression, we provide sharp upper and lower bounds on Kemeny's constant of trees with fixed order n and matching number beta. All the corresponding extremal graphs are identified.(c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页码：121 / 131
页数：11
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