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» On the Covering Steiner Problem
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MFCS
2001
Springer
14 years 2 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm
TCBB
2010
166views more  TCBB 2010»
13 years 8 months ago
Approximate Maximum Parsimony and Ancestral Maximum Likelihood
— We explore the maximum parsimony (MP) and ancestral maximum likelihood (AML) criteria in phylogenetic tree reconstruction. Both problems are NP hard, so we seek approximate sol...
Noga Alon, Benny Chor, Fabio Pardi, Anat Rapoport
ALGORITHMICA
2005
99views more  ALGORITHMICA 2005»
13 years 9 months ago
Improved Approximation Algorithms for the Quality of Service Multicast Tree Problem
Abstract. The Quality of Service Multicast Tree Problem is a generalization of the Steiner tree problem which appears in the context of multimedia multicast and network design. In ...
Marek Karpinski, Ion I. Mandoiu, Alexander Olshevs...
STOC
2004
ACM
118views Algorithms» more  STOC 2004»
14 years 10 months ago
Boosted sampling: approximation algorithms for stochastic optimization
Several combinatorial optimization problems choose elements to minimize the total cost of constructing a feasible solution that satisfies requirements of clients. In the STEINER T...
Anupam Gupta, Martin Pál, R. Ravi, Amitabh ...
STOC
2005
ACM
89views Algorithms» more  STOC 2005»
14 years 10 months ago
Universal approximations for TSP, Steiner tree, and set cover
Lujun Jia, Guolong Lin, Guevara Noubir, Rajmohan R...