Article ID Journal Published Year Pages File Type
415737 Computational Geometry 2010 18 Pages PDF
Abstract

We prove that the robber can evade (that is, stay at least unit distance from) at least ⌊n/5.889⌋ cops patroling an n×n continuous square region, that a robber can always evade a single cop patroling a square with side length 4 or larger, and that a single cop on patrol can always capture the robber in a square with side length smaller than 2.189… .

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics