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GD
2009
Springer
14 years 17 days ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 9 months ago
Menger's Paths with Minimum Mergings
For an acyclic directed graph with multiple sources and multiple sinks, we prove that one can choose the Menger's paths between the sources and the sinks such that the number...
Guangyue Han
DAM
2007
107views more  DAM 2007»
13 years 9 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
IROS
2006
IEEE
113views Robotics» more  IROS 2006»
14 years 3 months ago
A Framework for Automatic Deployment of Robots in 2D and 3D Environments
Abstract— We present a computational framework for automatic deployment of robots in 2D and 3D rectangular environments with polytopal obstacles. The results are derived for poly...
Marius Kloetzer, Calin Belta
HICSS
2002
IEEE
212views Biometrics» more  HICSS 2002»
14 years 2 months ago
Connectivity-Based k-Hop Clustering in Wireless Networks
Abstract. In this paper we describe several new clustering algorithms for nodes in a mobile ad hoc network. The main contribution is to generalize the cluster definition and forma...
Geng Chen, Fabian Garcia Nocetti, Julio Solano-Gon...