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» Cops and Robbers from a distance
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COMGEO
2011
ACM
12 years 12 months ago
Improved bounds for cops-and-robber pursuit
We prove that n cops can capture (that is, some cop can get less than unit distance from) a robber in a continuous square region with side length less than √ 5n and hence that n/...
Laurent Alonso, Edward M. Reingold
TCS
2010
13 years 3 months ago
Cops and Robbers from a distance
Cops and Robbers is a pursuit and evasion game played on graphs that has received much attention. We consider an extension of Cops and Robbers, distance k Cops and Robbers, where t...
Anthony Bonato, Ehsan Chiniforooshan, Pawel Pralat
DAM
1999
90views more  DAM 1999»
13 years 4 months ago
Note on a Helicopter Search Problem on Graphs
We consider a search game on a graph in which one cop in a helicopter flying from vertex to vertex tries to catch the invisible robber. The existence of the winning program for th...
Fedor V. Fomin
WG
2009
Springer
13 years 11 months ago
Distance d-Domination Games
Abstract. We study graph searching games where a number of cops try to capture a robber that is hiding in a system of tunnels modelled as a graph. While the current position of the...
Stephan Kreutzer, Sebastian Ordyniak
CORR
2012
Springer
229views Education» more  CORR 2012»
12 years 18 days ago
Cops and Invisible Robbers: the Cost of Drunkenness
We examine a version of the Cops and Robber (CR) game in which the robber is invisible, i.e., the cops do not know his location until they capture him. Apparently this game (CiR) h...
Athanasios Kehagias, Dieter Mitsche, Pawel Pralat