Deterministic approximation for the cover time of trees
Data Structures and Algorithms
2009-09-11 v1 Probability
Abstract
We present a deterministic algorithm that given a tree T with n vertices, a starting vertex v and a slackness parameter epsilon > 0, estimates within an additive error of epsilon the cover and return time, namely, the expected time it takes a simple random walk that starts at v to visit all vertices of T and return to v. The running time of our algorithm is polynomial in n/epsilon, and hence remains polynomial in n also for epsilon = 1/n^{O(1)}. We also show how the algorithm can be extended to estimate the expected cover (without return) time on trees.
Cite
@article{arxiv.0909.2005,
title = {Deterministic approximation for the cover time of trees},
author = {Uriel Feige and Ofer Zeitouni},
journal= {arXiv preprint arXiv:0909.2005},
year = {2009}
}