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» Optimal Cover of Points by Disks in a Simple Polygon
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COMGEO
2008
ACM
14 years 9 months ago
Covering point sets with two disjoint disks or squares
We study the following problem: Given a set of red points and a set of blue points on the plane, find two unit disks CR and CB with disjoint interiors such that the number of red ...
Sergio Cabello, José Miguel Díaz-B&a...
FOCS
2002
IEEE
15 years 2 months ago
Optimal System of Loops on an Orientable Surface
Every compact orientable boundaryless surface M can be cut along simple loops with a common point v0, pairwise disjoint except at v0, so that the resulting surface is a topologica...
Éric Colin de Verdière, Francis Laza...
WADS
2009
Springer
274views Algorithms» more  WADS 2009»
15 years 2 months ago
New Results on Visibility in Simple Polygons
We show that (A), 14 points on the boundary of a Jordan curve, and (B), 16 points in convex position encircled by a Jordan curve, cannot be shattered by interior visibility domains...
Alexander Gilbers, Rolf Klein
COCOON
2001
Springer
15 years 2 months ago
Packing Two Disks into a Polygonal Environment
: We consider the following problem. Given a polygon P, possibly with holes, and having n vertices, compute a pair of equal radius disks that do not intersect each other, are conta...
Prosenjit Bose, Pat Morin, Antoine Vigneron
GLOBECOM
2006
IEEE
15 years 3 months ago
A Coverage-Preserving and Hole Tolerant Based Scheme for the Irregular Sensing Range in Wireless Sensor Networks
— Coverage is an important issue related to WSN quality of service. Several centralized/decentralized solutions based on the geometry information of sensors and under the assumpt...
Azzedine Boukerche, Xin Fei, Regina Borges de Arau...