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» Evolutionary Algorithms for Vertex Cover
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WEA
2005
Springer
117views Algorithms» more  WEA 2005»
15 years 5 months ago
Vertex Cover Approximations: Experiments and Observations
The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, e...
Eyjolfur Asgeirsson, Clifford Stein
STOC
2007
ACM
117views Algorithms» more  STOC 2007»
15 years 12 months ago
Tight integrality gaps for Lovasz-Schrijver LP relaxations of vertex cover and max cut
We study linear programming relaxations of Vertex Cover and Max Cut arising from repeated applications of the "lift-and-project" method of Lovasz and Schrijver starting ...
Grant Schoenebeck, Luca Trevisan, Madhur Tulsiani
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
15 years 3 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
15 years 4 months ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld
75
Voted
STOC
2002
ACM
91views Algorithms» more  STOC 2002»
15 years 12 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra