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101
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FOCS
2008
IEEE
15 years 6 months ago
A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
Glencora Borradaile, Philip N. Klein, Claire Mathi...
IPL
2006
70views more  IPL 2006»
15 years 11 days ago
A polynomial time approximation scheme for embedding a directed hypergraph on a ring
We study the problem of embedding a directed hypergraph on a ring that has applications in optical network communications. The undirected version (MCHEC) has been extensively stud...
Kang Li, Lusheng Wang
120
Voted
COCOON
2006
Springer
15 years 4 months ago
Approximating Min-Max (Regret) Versions of Some Polynomial Problems
Abstract. While the complexity of min-max and min-max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few stu...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
FOCS
1999
IEEE
15 years 4 months ago
A Sublinear Time Approximation Scheme for Clustering in Metric Spaces
The metric 2-clustering problem is de ned as follows: given a metric (X;d), partition X into two sets S1 and S2 in order to minimize the value of X i X fu;vg Si d(u;v) In this pap...
Piotr Indyk
FOCS
1995
IEEE
15 years 4 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...