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» Covering a hypergraph of subgraphs
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CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 15 days ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge
ICALP
2010
Springer
13 years 9 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
ICALP
2010
Springer
13 years 9 months ago
Inapproximability of Hypergraph Vertex Cover and Applications to Scheduling Problems
Assuming the Unique Games Conjecture (UGC), we show optimal inapproximability results for two classic scheduling problems. We obtain a hardness of 2 − ε for the problem of mini...
Nikhil Bansal, Subhash Khot
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...
LICS
2010
IEEE
13 years 3 months ago
Highly Acyclic Groups, Hypergraph Covers and the Guarded Fragment
We construct finite groups whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edges from the same colour ...
Martin Otto