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» The Guarding Problem - Complexity and Approximation
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SODA
2004
ACM
161views Algorithms» more  SODA 2004»
15 years 8 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...
SODA
1992
ACM
179views Algorithms» more  SODA 1992»
15 years 7 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 6 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
IJAR
2008
82views more  IJAR 2008»
15 years 6 months ago
Probabilistic rough set approximations
This paper reviews probabilistic approaches to rough sets in granulation, approximation, and rule induction. The Shannon entropy function is used to quantitatively characterize pa...
Yiyu Yao
MP
2007
100views more  MP 2007»
15 years 6 months ago
Power optimization for connectivity problems
Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. ...