Title
The complexity of pursuit on a graph
Abstract
A robber and k cops choose starting vertices in a graph and move in alternation from vertex to vertex along the edges of the graph; capture occurs if a cop ever shares a vertex with the robber. If k is not fixed and if either the graph is directed or initial positions are given, we show that the problem is EXPTIME-complete. Similar techniques lead to the PSPACE- and EXPTIME-completeness of some other combinatorial games that were previously only known to be NP- and PSPACE-hard.
Year
DOI
Venue
1995
10.1016/0304-3975(95)80012-3
Theoretical Computer Science
Keywords
DocType
Volume
combinatorial games
Journal
143
Issue
ISSN
Citations 
1
Theoretical Computer Science
48
PageRank 
References 
Authors
3.52
10
2
Name
Order
Citations
PageRank
Arthur S. Goldstein1826.72
Edward M. Reingold22214563.65