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» Optimal Cover of Points by Disks in a Simple Polygon
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COMGEO
2008
ACM
13 years 5 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
13 years 10 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»
13 years 10 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
13 years 10 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
13 years 11 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...