Hitting times for random walks on tricyclic graphs

Autor: Xiao-Min Zhu, Xu Yang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Vol 20, Iss 1, Pp 65-72 (2023)
Druh dokumentu: article
ISSN: 09728600
2543-3474
0972-8600
DOI: 10.1080/09728600.2023.2182244
Popis: AbstractLet G be a simple connected graph and [Formula: see text] Let [Formula: see text] be the expected hitting time from x to y in G and [Formula: see text] be the hitting time of G, where [Formula: see text] A tricyclic graph is a simple connected graph that the edge number equals the vertex number plus two. Let [Formula: see text] be the set of all n-vertex tricyclic graphs. In this article, we will determine the extremal graphs for hitting times among all n-vertex tricyclic graphs. Moreover, if [Formula: see text] then we will obtain sharp upper and lower bounds for [Formula: see text]
Databáze: Directory of Open Access Journals