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194
Voted
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
16 years 7 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
16 years 7 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
167
Voted
STOC
2009
ACM
137views Algorithms» more  STOC 2009»
16 years 7 months ago
Mixing time for the solid-on-solid model
We analyze the mixing time of a natural local Markov chain (the Glauber dynamics) on configurations of the solid-onsolid model of statistical physics. This model has been proposed...
Fabio Martinelli, Alistair Sinclair
175
Voted
STOC
2009
ACM
96views Algorithms» more  STOC 2009»
16 years 7 months ago
MaxMin allocation via degree lower-bounded arborescences
We consider the problem of MaxMin allocation of indivisible goods. There are m items to be distributed among n players. Each player i has a nonnegative valuation pij for an item j...
MohammadHossein Bateni, Moses Charikar, Venkatesan...
STOC
2009
ACM
113views Algorithms» more  STOC 2009»
16 years 7 months ago
The extended BG-simulation and the characterization of t-resiliency
A distributed task T on n processors is an input/output relation between a collection of processors' inputs and outputs. While all tasks are solvable if no processor may ever...
Eli Gafni
STOC
2009
ACM
99views Algorithms» more  STOC 2009»
16 years 7 months ago
Testing juntas nearly optimally
A function on n variables is called a k-junta if it depends on at most k of its variables. In this article, we show that it is possible to test whether a function is a k-junta or ...
Eric Blais
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
16 years 7 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan
STOC
2009
ACM
146views Algorithms» more  STOC 2009»
16 years 7 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
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
16 years 7 months ago
The detectability lemma and quantum gap amplification
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...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...
STOC
2009
ACM
120views Algorithms» more  STOC 2009»
16 years 7 months ago
Short seed extractors against quantum storage
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...
Amnon Ta-Shma