Title
Random walks and the regeneration time
Abstract
Consider a graph G and a random walk on it. We want tostop the random walk at certain times (using an optimal stoppingrule) to obtain independent samples from a given distribution ρon the nodes. For an undirected graph, the expected time betweenconsecutive samples is maximized by a distribution equally dividedbetween two nodes, and so the worst expected time is 1-4 of themaximum commute time between two nodes. In the directed case, theexpected time for this distribution is within a factor of 2 of themaximum. © 1998 John Wiley & Sons, Inc. J. Graph Theory29: 5762, 1998
Year
DOI
Venue
1998
10.1002/(SICI)1097-0118(199810)29:2<>1.0.CO;2-I
Journal of Graph Theory
Keywords
Field
DocType
random walk,inc. j. graph theory29,themaximum commute time,theexpected time,regeneration time,undirected graph,graph g,worst expected time,certain time,john wiley,expected time betweenconsecutive sample,optimal stopping
Graph theory,Random regular graph,Loop-erased random walk,Combinatorics,Random graph,Random walk,Random geometric graph,Stopping time,Heterogeneous random walk in one dimension,Mathematics
Journal
Volume
Issue
ISSN
29
2
0364-9024
Citations 
PageRank 
References 
2
0.51
1
Authors
2
Name
Order
Citations
PageRank
Andrew Beveridge1558.21
László Lovász2791152.09