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128
Voted
FOCS
2008
IEEE
15 years 10 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...
128
Voted
IPL
2006
70views more  IPL 2006»
15 years 3 months 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
140
Voted
COCOON
2006
Springer
15 years 7 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...
115
Voted
FOCS
1999
IEEE
15 years 8 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
117
Voted
FOCS
1995
IEEE
15 years 7 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...