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NETWORKS
2006
15 years 1 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
IPL
2011
112views more  IPL 2011»
14 years 9 months ago
Improved approximation algorithms for minimum AND-circuits problem via k-set cover
Arpe and Manthey [Algorithmica’09] recently studied the minimum ANDcircuit problem, which is a circuit minimization problem, and showed some results including approximation algo...
Hiroki Morizumi
COCOA
2008
Springer
15 years 3 months ago
Elementary Approximation Algorithms for Prize Collecting Steiner Tree Problems
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
Shai Gutner
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
15 years 3 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
FOCS
2006
IEEE
15 years 8 months ago
Approximation algorithms for allocation problems: Improving the factor of 1 - 1/e
Combinatorial allocation problems require allocating items to players in a way that maximizes the total utility. Two such problems received attention recently, and were addressed ...
Uriel Feige, Jan Vondrák