Unbounded unimodal search and pursuit problems
Unbounded unimodal search and pursuit problems
Randomized algorithms
Solution of David Gale's lion and man problem
Theoretical Computer Science
Simple algorithms for searching a polygon with flashlights
Information Processing Letters
Lectures on Discrete Geometry
Visibility-Based Pursuit-Evasion in a Polygonal Environment
WADS '97 Proceedings of the 5th International Workshop on Algorithms and Data Structures
Randomized Pursuit-Evasion in Graphs
Combinatorics, Probability and Computing
Game-theoretic analysis of a visibility based pursuit-evasion game in the presence of obstacles
ACC'09 Proceedings of the 2009 conference on American Control Conference
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We present a framework for solving pursuit evasion games in Rn for the case of N pursuers and a single evader. We give two algorithms that capture the evader in a number of steps linear in the original pursuer-evader distances. We also show how to generalize our results to a convex playing field with finitely many hyperplane boundaries that serve as obstacles.