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» Properties of vertex cover obstructions
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MST
2007
154views more  MST 2007»
14 years 11 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»
15 years 5 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
15 years 4 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»
14 years 10 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»
15 years 5 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