121
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ICALP
2010
Springer
15 years 8 months ago
2010
Springer
In this paper we present semidefinite programming (SDP) gap instances for the following variants of the Label-Cover problem, closely related to the Unique Games Conjecture: (i) 2-...
156
Voted
SWAT
2010
Springer
15 years 8 months ago
2010
Springer
Given a permutation π of {1, . . . , n} and a positive integer k, we give an algorithm with running time 2O(k2 log k) nO(1) that decides whether π can be partitioned into at mos...
136
Voted
APPROX
2004
Springer
15 years 9 months ago
2004
Springer
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
125
Voted
FOCS
2006
IEEE
15 years 9 months ago
2006
IEEE
In this paper we present a new approximation algorithm for Unique Games. For a Unique Game with n vertices and k states (labels), if a (1 − ε) fraction of all constraints is sa...
140
Voted
IWOCA
2009
Springer
15 years 10 months ago
2009
Springer
We develop a method for performing boolean convolutions efficiently in word RAM model of computation, having a word size of w = Ω(log n) bits, where n is the input size. The tech...