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STOC
2009
ACM
91views Algorithms» more  STOC 2009»
14 years 10 months ago
Inaccessible entropy
We put forth a new computational notion of entropy, which measures the (in)feasibility of sampling high entropy strings that are consistent with a given protocol. Specifically, we...
Iftach Haitner, Omer Reingold, Salil P. Vadhan, Ho...
STOC
2009
ACM
160views Algorithms» more  STOC 2009»
14 years 10 months ago
CSP gaps and reductions in the lasserre hierarchy
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...
Madhur Tulsiani
STOC
2009
ACM
364views Algorithms» more  STOC 2009»
14 years 10 months ago
Distributed (delta+1)-coloring in linear (in delta) time
Leonid Barenboim, Michael Elkin
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 10 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»
14 years 10 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
STOC
2009
ACM
137views Algorithms» more  STOC 2009»
14 years 10 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
STOC
2009
ACM
96views Algorithms» more  STOC 2009»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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