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» Optimal Cover of Points by Disks in a Simple Polygon
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ESA
2010
Springer
202views Algorithms» more  ESA 2010»
15 years 24 days ago
Optimal Cover of Points by Disks in a Simple Polygon
Haim Kaplan, Matthew J. Katz, Gila Morgenstern, Mi...
CCCG
2010
15 years 1 months ago
Multi-guard covers for polygonal regions
We study the problem of finding optimal covers of polygonal regions using multiple mobile guards. By our definition, a point is covered if, at some time, it lies within the convex...
Zohreh Jabbari, William S. Evans, David G. Kirkpat...
JCO
2010
182views more  JCO 2010»
14 years 10 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
PAAPP
1998
149views more  PAAPP 1998»
14 years 11 months ago
Optimal Mesh Algorithms for Proximity and Visibility Problems in Simple Polygons*
We present optimal parallel algorithms that run in O( pn) time on a pn pn meshconnected computer for a number of fundamental problems concerning proximity and visibility in a simp...
Sumanta Guha
GC
2007
Springer
14 years 11 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...