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» K-Guarding Polygons on the Plane
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WG
2010
Springer
15 years 5 days ago
Network Exploration by Silent and Oblivious Robots
In this paper we investigate the basic problem of Exploration of a graph by a group of identical mobile computational entities, called robots, operating autonomously and asynchrono...
Jérémie Chalopin, Paola Flocchini, B...
CCCG
1993
15 years 3 months ago
Widest-corridor Problems
A k-dense corridor through a finite set, S, of n points in the plane is the open region of the plane that is bounded by two parallel lines that intersect the convex hull of S and ...
Ravi Janardan, Franco P. Preparata
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
15 years 3 months ago
Iterated Nearest Neighbors and Finding Minimal Polytopes
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...
David Eppstein, Jeff Erickson
COMPGEOM
2007
ACM
15 years 5 months ago
Streaming algorithms for line simplification
We study the following variant of the well-known line-simplification problem: we are getting a possibly infinite sequence of points p0, p1, p2, . . . in the plane defining a polyg...
Mohammad Ali Abam, Mark de Berg, Peter Hachenberge...
COMPGEOM
2008
ACM
15 years 3 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...