Title
Some remarks on cops and drunk robbers
Abstract
The cops and robber game has been extensively studied under the assumption of optimal play by both the cops and the robber. In this paper we study the problem in which cops are chasing a drunk robber (that is, a robber who performs a random walk) on a graph. Our main goal is to characterize the ''cost of drunkenness''. Specifically, we study the ratio of expected capture times for the optimal version and the drunk robber one. We also examine the algorithmic side of the problem; that is, how to compute near-optimal search schedules for the cops. Finally, we present a preliminary investigation of the invisible robber game and point out differences between this game and graph search.
Year
DOI
Venue
2012
10.1016/j.tcs.2012.08.016
Theoretical Computer Science
Keywords
DocType
Volume
optimal version,optimal play,graph search,drunk robber,main goal,invisible robber game,algorithmic side,robber game,expected capture time,near-optimal search schedule
Journal
463,
ISSN
Citations 
PageRank 
0304-3975
11
0.85
References 
Authors
8
2
Name
Order
Citations
PageRank
Athanasios Kehagias132027.69
Pawe Praat2272.84