Let P be a simple polygon with m vertices, k of which are reflex, and which contains r red points and b blue points in its interior. Let n = m + r + b. A ham-sandwich geodesic is ...
Prosenjit Bose, Erik D. Demaine, Ferran Hurtado, J...
A room is a simple polygon with a prespecified point, called the door, on its boundary. A search starts at the door and must detect any intruder that may be in the room, while maki...
Binay K. Bhattacharya, John Z. Zhang, Qiaosheng Sh...
Abstract. Given a simple n-sided polygon in the plane with a boundary partitioned into subchains some of which are convex and colored, we consider the following problem: Which is t...
Private approximation of search problems deals with finding approximate solutions to search problems while disclosing as little information as possible. The focus of this work is ...
We present several applications in computational geometry of Megiddo's parametric searching technique. These applications include: (1) Finding the minimum Hausdorff distance ...