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» On Nontrivial Approximation of CSPs
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COMGEO
2012
ACM
12 years 6 months ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...
STOC
2009
ACM
146views Algorithms» more  STOC 2009»
14 years 11 months ago
Conditional hardness for satisfiable 3-CSPs
In this paper we study a fundamental open problem in the area of probabilistic checkable proofs: What is the smallest s such that NP naPCP1,s[O(log n), 3]? In the language of har...
Ryan O'Donnell, Yi Wu
FOCS
2008
IEEE
14 years 4 months ago
Linear Level Lasserre Lower Bounds for Certain k-CSPs
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...
Grant Schoenebeck
IPL
2000
96views more  IPL 2000»
13 years 10 months ago
On bounded occurrence constraint satisfaction
An approximation algorithm for a constraint satisfaction problem is said to be nontrivial if its performance ratio is strictly superior to the expected performance of the algorith...
Johan Håstad
JAT
2011
93views more  JAT 2011»
13 years 5 months ago
Approximation theorems for group valued functions
Stone-Weierstrass-type theorems for groups of group-valued functions with discrete range or discrete domain are obtained. We study criteria for a subgroup of the group of continuou...
Jorge Galindo, Manuel Sanchis