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126
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JCT
2006
100views more  JCT 2006»
15 years 3 months ago
Approximating clique-width and branch-width
We construct a polynomial-time algorithm to approximate the branch-width of certain symmetric submodular functions, and give two applications. The first is to graph "clique-wi...
Sang-il Oum, Paul D. Seymour
IPCO
2010
148views Optimization» more  IPCO 2010»
15 years 5 months ago
Prize-Collecting Steiner Network Problems
In the Steiner Network problem we are given a graph with edge-costs and connectivity requirements between node pairs , . The goal is to find a minimum-cost subgraph of that contain...
MohammadTaghi Hajiaghayi, Rohit Khandekar, Guy Kor...
132
Voted
STOC
2007
ACM
140views Algorithms» more  STOC 2007»
16 years 4 months ago
On the submodularity of influence in social networks
We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where...
Elchanan Mossel, Sébastien Roch
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
15 years 10 months ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák
139
Voted
ORL
2010
129views more  ORL 2010»
15 years 2 months ago
Additive envelopes of continuous functions
We present an iterative method for constructing additive envelopes of continuous functions on a compact set, with contact at a prespecified point. For elements of a class of subm...
Bruno H. Strulovici, Thomas A. Weber