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
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 ...
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...
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...
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...
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...
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...