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FOCS
2007
IEEE
15 years 6 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
APPROX
2008
Springer
173views Algorithms» more  APPROX 2008»
15 years 2 months ago
Connected Vertex Covers in Dense Graphs
We consider the variant of the minimum vertex cover problem in which we require that the cover induces a connected subgraph. We give new approximation results for this problem in d...
Jean Cardinal, Eythan Levy
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
16 years 1 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...
108
Voted
SODA
2001
ACM
150views Algorithms» more  SODA 2001»
15 years 1 months ago
A faster implementation of the Goemans-Williamson clustering algorithm
We give an implementation of the Goemans-Williamson clustering procedure which is at the core of several approximation algorithms including those for Generalized Steiner Trees, Pr...
Richard Cole, Ramesh Hariharan, Moshe Lewenstein, ...
89
Voted
CCCG
2008
15 years 1 months ago
The Embroidery Problem
We consider the problem of embroidering a design pattern, given by a graph G, using a single minimum length thread. We give an exact polynomial-time algorithm for the case that G ...
Esther M. Arkin, George Hart, Joondong Kim, Irina ...