Art gallery theorems


Art gallery theorems are concerned with the number of guards required to control a polygon, and many variations exist depending on how much power the guards have and what kind of restrictions are imposed on the polygon. Even though by nature these are covering problems, most theorems are based on partitions. With Ervin Győri, we found such a theorem for orthogonal art galleries where guards are allowed to patrol a line segment in the polygon.

CEU, Zrínyi u. 14

My research interests include Graph Theory, Computational Geometry, and Algorithms