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185
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WG
2004
Springer
15 years 9 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
129
Voted
COMPGEOM
2000
ACM
15 years 7 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...
126
Voted
DCOSS
2010
Springer
15 years 7 months ago
Fast Decentralized Averaging via Multi-scale Gossip
Abstract. We are interested in the problem of computing the average consensus in a distributed fashion on random geometric graphs. We describe a new algorithm called Multi-scale Go...
Konstantinos I. Tsianos, Michael G. Rabbat
119
Voted
FAW
2008
Springer
104views Algorithms» more  FAW 2008»
15 years 5 months ago
The Parameterized Complexity of the Rectangle Stabbing Problem and Its Variants
We study the parameterized complexity of an NP-complete geometric covering problem called d-dimensional Rectangle Stabbing where we are given a set of axis-parallel d-dimensional h...
Michael Dom, Somnath Sikdar
122
Voted
IJCAI
2001
15 years 5 months ago
Reasoning about Categories in Conceptual Spaces
Understanding the process of categorization is a primary research goal in artificial intelligence. The conceptual space framework provides a flexible approach to modeling context-...
Peter Gärdenfors, Mary-Anne Williams