STOC
2009
ACM
14 years 5 months ago
2009
ACM
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...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
Some, but not all, extractors resist adversaries with limited quantum storage. In this paper we show that Trevisan's extractor has this property, thereby showing an extractor...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
We give near-optimal space bounds in the streaming model for linear algebra problems that include estimation of matrix products, linear regression, low-rank approximation, and app...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
We put forward a new approach to mechanism design, and exemplify it via a new mechanism guaranteeing significant revenue in unrestricted combinatorial auctions. Our mechanism ? su...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
Consider the edge-connectivity survivable network design problem: given a graph G = (V, E) with edge-costs, and edgeconnectivity requirements rij Z0 for every pair of vertices i,...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
We describe a new approximation algorithm for Max Cut. Our algorithm runs in ~O(n2 ) time, where n is the number
STOC
2009
ACM
14 years 5 months ago
2009
ACM
An affine disperser over Fn 2 for sources of dimension d is a function f : Fn 2 F2 such that for any affine space S Fn 2 of dimension at least d, we have {f(s) : s S} = F2. Aff...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
We study the Sherali-Adams lift-and-project hierarchy of linear programming relaxations of the matching polytope. Our main result is an asymptotically tight expression 1 + 1/k for...
STOC
2009
ACM
14 years 5 months ago
2009
ACM
We prove strong lower bounds on integrality gaps of Sherali?Adams relaxations for MAX CUT, Vertex Cover, Sparsest Cut and other problems. Our constructions show gaps for Sherali?A...