Sciweavers

ECCC
2006
75views more  ECCC 2006»
13 years 4 months ago
Note on MAX 2SAT
In this note we present an approximation algorithm for MAX 2SAT that given a (1 - ) satisfiable instance finds an assignment of variables satisfying a 1 - O( ) fraction of all co...
Moses Charikar, Konstantin Makarychev, Yury Makary...
ECCC
2010
111views more  ECCC 2010»
13 years 4 months ago
Tight Bounds on the Approximability of Almost-satisfiable Horn SAT and Exact Hitting Set}
We study the approximability of two natural Boolean constraint satisfaction problems: Horn satisfiability and exact hitting set. Under the Unique Games conjecture, we prove the fo...
Venkatesan Guruswami, Yuan Zhou
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 4 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 4 months ago
Hardness Results for Agnostically Learning Low-Degree Polynomial Threshold Functions
Hardness results for maximum agreement problems have close connections to hardness results for proper learning in computational learning theory. In this paper we prove two hardnes...
Ilias Diakonikolas, Ryan O'Donnell, Rocco A. Serve...
DAGSTUHL
2007
13 years 6 months ago
The Unique Games Conjecture with Entangled Provers is False
We consider one-round games between a classical verifier and two provers who share entanglement. We show that when the constraints enforced by the verifier are ‘unique’ cons...
Julia Kempe, Oded Regev, Ben Toner
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 6 months ago
Approximation Resistant Predicates from Pairwise Independence
We study the approximability of predicates on k variables from a domain [q], and give a new sufficient condition for such predicates to be approximation resistant under the Unique...
Per Austrin, Elchanan Mossel
FOCS
2004
IEEE
13 years 8 months ago
Optimal Inapproximability Results for Max-Cut and Other 2-Variable CSPs?
In this paper we show a reduction from the Unique Games problem to the problem of approximating MAX-CUT to within a factor of GW + , for all > 0; here GW .878567 denotes the a...
Subhash Khot, Guy Kindler, Elchanan Mossel, Ryan O...
COCO
2005
Springer
131views Algorithms» more  COCO 2005»
13 years 10 months ago
On the Hardness of Approximating Multicut and Sparsest-Cut
We show that the Multicut, Sparsest-Cut, and Min-2CNF≡ Deletion problems are NP-hard to approximate within every constant factor, assuming the Unique Games Conjecture of Khot [S...
Shuchi Chawla, Robert Krauthgamer, Ravi Kumar, Yuv...
COCO
2007
Springer
84views Algorithms» more  COCO 2007»
13 years 11 months ago
Understanding Parallel Repetition Requires Understanding Foams
Motivated by the study of Parallel Repetition and also by the Unique Games Conjecture, we investigate the value of the “Odd Cycle Games” under parallel repetition. Using tools...
Uriel Feige, Guy Kindler, Ryan O'Donnell
FOCS
2007
IEEE
13 years 11 months ago
Towards Sharp Inapproximability For Any 2-CSP
We continue the recent line of work on the connection between semidefinite programming-based approximation algorithms and the Unique Games Conjecture. Given any boolean 2-CSP (or...
Per Austrin