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FOCS
2007
IEEE
15 years 9 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 5 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 3 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...
SODA
2001
ACM
150views Algorithms» more  SODA 2001»
15 years 4 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, ...
CCCG
2008
15 years 4 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 ...