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» On the Hardness of Approximate Reasoning
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FOCS
2004
IEEE
14 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»
13 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»
14 years 10 months ago
Conditional hardness for approximate coloring
Irit Dinur, Elchanan Mossel, Oded Regev
TAMC
2009
Springer
14 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
FOCS
2005
IEEE
14 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...