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» Hardness of Approximate Hypergraph Coloring
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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...
FOCS
2006
IEEE
13 years 11 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
CC
2006
Springer
123views System Software» more  CC 2006»
13 years 5 months ago
On the complexity of approximating k-set packing
Given a k-uniform hypergraph, the Maximum k-Set Packing problem is to find the maximum disjoint set of edges. We prove that this problem cannot be efficiently approximated to with...
Elad Hazan, Shmuel Safra, Oded Schwartz
STOC
2006
ACM
95views Algorithms» more  STOC 2006»
14 years 5 months ago
Conditional hardness for approximate coloring
Irit Dinur, Elchanan Mossel, Oded Regev
PODS
2007
ACM
159views Database» more  PODS 2007»
14 years 5 months ago
Generalized hypertree decompositions: np-hardness and tractable variants
The generalized hypertree width GHW(H) of a hypergraph H is a measure of its cyclicity. Classes of conjunctive queries or constraint satisfaction problems whose associated hypergr...
Georg Gottlob, Thomas Schwentick, Zoltán Mi...