Kemeny's constant for a graph with bridges

被引：4

作者：

Breen, Jane ^{[1
]}

Crisostomi, Emanuele ^{[2
]}

Kim, Sooyeong ^{[2
]}

机构：

[1] Ontario Tech Univ, Fac Sci, Oshawa, ON, Canada

[2] Univ Pisa, Dept Energy Syst Terr & Construct Engn, I-56121 Pisa, Italy

来源：

DISCRETE APPLIED MATHEMATICS | 2022年 / 322卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Kemeny?s constant; 2-tree spanning forest; Resistance matrix;

D O I：

10.1016/j.dam.2022.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we determine a formula for Kemeny's constant for a graph with multiple bridges, in terms of quantities that are inherent to the subgraphs obtained upon removal of all bridges and that can be computed independently. With the formula, we consider several optimization problems for Kemeny's constant for graphs with bridges, and we remark on the computational benefit of this formula for the computation of Kemeny's constant. Finally, we discuss some potential applications. (c) 2022 Published by Elsevier B.V.

引用

页码：20 / 35

页数：16

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