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» On the Hardness of Approximate Reasoning
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FOCS
2004
IEEE
15 years 1 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
IPL
2010
115views more  IPL 2010»
14 years 8 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
STOC
2006
ACM
95views Algorithms» more  STOC 2006»
15 years 9 months ago
Conditional hardness for approximate coloring
Irit Dinur, Elchanan Mossel, Oded Regev
TAMC
2009
Springer
15 years 4 months ago
Approximation and Hardness Results for Label Cut and Related Problems
We investigate a natural combinatorial optimization problem called the Label Cut problem. Given an input graph G with a source s and a sink t, the edges of G are classified into ...
Peng Zhang, Jin-yi Cai, Linqing Tang, Wenbo Zhao
71
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FOCS
2005
IEEE
15 years 3 months ago
Hardness of Approximating the Closest Vector Problem with Pre-Processing
d Abstract] Mikhail Alekhnovich ∗ Subhash A. Khot † Guy Kindler ‡ Nisheeth K. Vishnoi § We show that, unless NP⊆DTIME(2poly log(n) ), the closest vector problem with pre-...
Mikhail Alekhnovich, Subhash Khot, Guy Kindler, Ni...