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» Approximability of Minimum AND-Circuits
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SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
15 years 11 months ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
15 years 7 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson
SODA
1993
ACM
202views Algorithms» more  SODA 1993»
15 years 7 months ago
Approximate Nearest Neighbor Queries in Fixed Dimensions
Given a set of n points in d-dimensional Euclidean space, S ⊂ Ed , and a query point q ∈ Ed , we wish to determine the nearest neighbor of q, that is, the point of S whose Euc...
Sunil Arya, David M. Mount
JACM
2000
131views more  JACM 2000»
15 years 6 months ago
The soft heap: an approximate priority queue with optimal error rate
A simple variant of a priority queue, called a soft heap, is introduced. The data structure supports the usual operations: insert, delete, meld, and findmin. Its novelty is to beat...
Bernard Chazelle
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
15 years 10 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito