An explicit formula of hitting times for random walks on graphs
Combinatorics
2014-11-18 v1
Abstract
We prove an explicit formula of hitting times in terms of enumerations of spanning trees for random walks on general connected graphs. We apply the formula to improve Lawler's bound of hitting times for general graphs, prove a sharp bound of hitting times for adjacent vertices and derive closed formulas of hitting times for some special graphs.
Keywords
Cite
@article{arxiv.1312.0065,
title = {An explicit formula of hitting times for random walks on graphs},
author = {Hao Xu and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1312.0065},
year = {2014}
}
Comments
to appear in Pure Appl. Math. Q