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81
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FOCS
2007
IEEE
15 years 3 months ago
Maximizing Non-Monotone Submodular Functions
Submodular maximization generalizes many important problems including Max Cut in directed/undirected graphs and hypergraphs, certain constraint satisfaction problems and maximum f...
Uriel Feige, Vahab S. Mirrokni, Jan Vondrák
ESA
2007
Springer
115views Algorithms» more  ESA 2007»
15 years 3 months ago
Approximation of Partial Capacitated Vertex Cover
We study the partial capacitated vertex cover problem (pcvc) in which the input consists of a graph G and a covering requirement L. Each edge e in G is associated with a demand (o...
Reuven Bar-Yehuda, Guy Flysher, Julián Mest...
115
Voted
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 1 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
CORR
2008
Springer
158views Education» more  CORR 2008»
14 years 9 months ago
Declarative Combinatorics: Isomorphisms, Hylomorphisms and Hereditarily Finite Data Types in Haskell
This paper is an exploration in a functional programming framework of isomorphisms between elementary data types (natural numbers, sets, finite functions, permutations binary deci...
Paul Tarau
74
Voted
ECCC
2006
134views more  ECCC 2006»
14 years 9 months ago
Derandomizing the AW matrix-valued Chernoff bound using pessimistic estimators and applications
Ahlswede and Winter [AW02] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound for real-valued random...
Avi Wigderson, David Xiao