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» The Shortcut Problem - Complexity and Approximation
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DEXAW
1999
IEEE
168views Database» more  DEXAW 1999»
15 years 7 months ago
Using the Distance Distribution for Approximate Similarity Queries in High-Dimensional Metric Spaces
We investigate the problem of approximate similarity (nearest neighbor) search in high-dimensional metric spaces, and describe how the distance distribution of the query object ca...
Paolo Ciaccia, Marco Patella
126
Voted
APPROX
2008
Springer
124views Algorithms» more  APPROX 2008»
15 years 5 months ago
Deterministic 7/8-Approximation for the Metric Maximum TSP
We present the first 7/8-approximation algorithm for the maximum traveling salesman problem with triangle inequality. Our algorithm is deterministic. This improves over both the r...
Lukasz Kowalik, Marcin Mucha
141
Voted
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
15 years 4 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
140
Voted
SODA
1992
ACM
179views Algorithms» more  SODA 1992»
15 years 4 months ago
Approximating the Minimum Weight Triangulation
We show that the length of the minimum weight Steiner triangulation (MWST) of a point set can be approximated within a constant factor by a triangulation algorithm based on quadtr...
David Eppstein
CORR
2008
Springer
115views Education» more  CORR 2008»
15 years 3 months ago
Approximating Multi-Criteria Max-TSP
Abstract. We present randomized approximation algorithms for multicriteria Max-TSP. For Max-STSP with k > 1 objective functions, we obtain an approximation ratio of 1 k - for a...
Markus Bläser, Bodo Manthey, Oliver Putz