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CORR
2011
Springer
181views Education» more  CORR 2011»
12 years 12 months ago
On Isolating Points Using Disks
In this paper, we consider the problem of choosing disks (that we can think of as corresponding to wireless sensors) so that given a set of input points in the plane, there exists ...
Matt Gibson, Gaurav Kanade, Kasturi R. Varadarajan
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...
COMPGEOM
2008
ACM
13 years 6 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
COMPGEOM
2008
ACM
13 years 6 months ago
Routing a maximum number of disks through a scene of moving obstacles
This video illustrates an algorithm for computing a maximum number of disjoint paths for unit disks moving among a set of dynamic obstacles in the plane. The problem is motivated ...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...
COCOON
2006
Springer
13 years 8 months ago
A Polynomial-Time Approximation Algorithm for a Geometric Dispersion Problem
We consider the problem of placing a set of disks in a region containing obstacles such that no two disks intersect. We are given a bounding polygon P and a set R of possibly inte...
Marc Benkert, Joachim Gudmundsson, Christian Knaue...
WADS
1997
Springer
89views Algorithms» more  WADS 1997»
13 years 9 months ago
Intractability of Assembly Sequencing: Unit Disks in the Plane
We consider the problem of removing a given disk from a collection of unit disks in the plane. At each step, we allow a disk to be removed by a collision-free translation to infin...
Michael H. Goldwasser, Rajeev Motwani
STOC
1996
ACM
95views Algorithms» more  STOC 1996»
13 years 9 months ago
Pushing Disks Together - The Continuous-Motion Case
If disks are moved so that each center
Marshall W. Bern, Amit Sahai
SODA
2010
ACM
162views Algorithms» more  SODA 2010»
14 years 2 months ago
The forest hiding problem
Let be a disk of radius R in the plane. A set F of closed unit disks contained in forms a maximal packing if the unit disks are pairwise disjoint and the set is maximal: i.e., i...
Adrian Dumitrescu, Minghui Jiang