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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 9 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...
FOCS
2008
IEEE
13 years 11 months ago
Linear Level Lasserre Lower Bounds for Certain k-CSPs
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...
Grant Schoenebeck
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 9 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz