Art Gallery Problems for Visibility with Reflection

Nikhil S Mande
Friday, 29 May 2015, 14:00 to 15:30
A-212 (STCS Seminar Room)
Abstract: The art gallery problem is to determine the minimum number of point light sources positioned at vertices of a polygon that can illuminate the entire polygon. Lee and Lin showed that this problem is NP-hard for direct visibility. In this talk, we will show that this problem remains NP-hard even for visibility with reflection, considering both *specular* and *diffuse* reflections. If time permits, I'll also talk about a variant of the art gallery problem known as the kernel problem.