Searching for a mobile intruder in a polygonal region
SIAM Journal on Computing
Solution of David Gale's lion and man problem
Theoretical Computer Science
Randomized pursuit-evasion in a polygonal environment
IEEE Transactions on Robotics
Search and pursuit-evasion in mobile robotics
Autonomous Robots
Capturing an evader in polygonal environments with obstacles: The full visibility case
International Journal of Robotics Research
Capture bounds for visibility-based pursuit evasion
Proceedings of the twenty-ninth annual symposium on Computational geometry
Lion and man with visibility in monotone polygons
International Journal of Robotics Research
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We study a pursuit-evasion game in which one or more cops try to capture a robber by moving onto the robber's current location. All players have equal maximum velocities. They can observe each other at all times. We show that three cops can capture the robber in any polygonal environment (which can contain any finite number of holes).