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» A Better Approximation Ratio for the Vertex Cover Problem
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COCOON
2005
Springer
14 years 1 months ago
A Tight Analysis of the Maximal Matching Heuristic
We study the worst-case performance of the maximal matching heuristic applied to the Minimum Vertex Cover and Minimum Maximal Matching problems, through a careful analysis of tigh...
Jean Cardinal, Martine Labbé, Stefan Langer...
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
14 years 8 days 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
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
14 years 21 days ago
A new multilayered PCP and the hardness of hypergraph vertex cover
Given a k-uniform hypergraph, the Ek-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyperedge. We present a new multilayered PCP constructi...
Irit Dinur, Venkatesan Guruswami, Subhash Khot, Od...
DAM
2006
191views more  DAM 2006»
13 years 7 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
MFCS
2010
Springer
13 years 5 months ago
Solving minones-2-sat as Fast as vertex cover
The problem of finding a satisfying assignment for a 2-SAT formula that minimizes the number of variables that are set to 1 (min ones 2–sat) is NP-complete. It generalizes the w...
Neeldhara Misra, N. S. Narayanaswamy, Venkatesh Ra...