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» Properties of vertex cover obstructions
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MST
2007
154views more  MST 2007»
13 years 4 months ago
Crown Structures for Vertex Cover Kernelization
Crown structures in a graph are defined and shown to be useful in kernelization algorithms for the classic vertex cover problem. Two vertex cover kernelization methods are discus...
Faisal N. Abu-Khzam, Michael R. Fellows, Michael A...
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
13 years 10 months 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...
ICALP
2010
Springer
13 years 10 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
MOR
2010
113views more  MOR 2010»
13 years 3 months ago
Projecting an Extended Formulation for Mixed-Integer Covers on Bipartite Graphs
We consider the mixed integer version of bipartite vertex cover. This is equivalent to the mixed integer network dual model, recently introduced in [2], that generalizes several m...
Michele Conforti, Laurence A. Wolsey, Giacomo Zamb...
ISAAC
2005
Springer
97views Algorithms» more  ISAAC 2005»
13 years 10 months ago
A Min-Max Relation on Packing Feedback Vertex Sets
Let G be a graph with a nonnegative integral function w defined on V (G). A collection F of subsets of V (G) (repetition is allowed) is called a feedback vertex set packing in G ...
Xujin Chen, Guoli Ding, Xiaodong Hu, Wenan Zang