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» Optimal Cover of Points by Disks in a Simple Polygon
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COMPGEOM
2004
ACM
15 years 3 months ago
Geodesic ham-sandwich cuts
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...
CCCG
2006
14 years 11 months ago
An Optimal Solution to Room Search Problem
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...
ICCSA
2004
Springer
15 years 3 months ago
A Robust and Fast Algorithm for Computing Exact and Approximate Shortest Visiting Routes
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...
Håkan Jonsson
TCC
2007
Springer
100views Cryptology» more  TCC 2007»
15 years 3 months ago
Private Approximation of Clustering and Vertex Cover
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 ...
Amos Beimel, Renen Hallak, Kobbi Nissim
SODA
1992
ACM
135views Algorithms» more  SODA 1992»
14 years 10 months ago
Applications of Parametric Searching in Geometric Optimization
We present several applications in computational geometry of Megiddo's parametric searching technique. These applications include: (1) Finding the minimum Hausdorff distance ...
Pankaj K. Agarwal, Micha Sharir, Sivan Toledo