Skip to Main content Skip to Navigation
New interface
Journal articles

Improved bounds for cops-and-robber pursuit

Laurent Alonso 1 Edward M. Reingold 2 
1 ALICE - Geometry and Lighting
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : 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 sqrt(5)n and hence that [n/sqrt(5)]+1 cops can capture a robber in a square with side length n. We extend these results to three dimensions, proving that 0.34869...n^2+O(n) cops can capture a robber in an nxnxn cube and that a robber can forever evade fewer than 0.02168...n^2+O(n) cops in that cube.
Complete list of metadata
Contributor : Laurent Alonso Connect in order to contact the contributor
Submitted on : Thursday, November 22, 2012 - 1:34:18 PM
Last modification on : Friday, November 18, 2022 - 9:24:30 AM

Links full text




Laurent Alonso, Edward M. Reingold. Improved bounds for cops-and-robber pursuit. Computational Geometry, 2011, 44 (8), pp.365-369. ⟨10.1016/j.comgeo.2011.03.001⟩. ⟨hal-00756031⟩



Record views