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AAIM
2006
Springer
75views Algorithms» more  AAIM 2006»
14 years 1 months ago
Subsequence Packing: Complexity, Approximation, and Application
We study the subsequence packing problem: given a string T and a collection of strings {Si}, find disjoint subsequences {Ti} of T with maximum total length such that each Ti is a ...
Minghui Jiang
DM
2008
88views more  DM 2008»
13 years 7 months ago
Packing triangles in low degree graphs and indifference graphs
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard. The algor...
Gordana Manic, Yoshiko Wakabayashi
STOC
2006
ACM
113views Algorithms» more  STOC 2006»
14 years 1 months ago
Logarithmic hardness of the directed congestion minimization problem
We show that for any constant ε > 0, there is no Ω(log1−ε M)approximation algorithm for the directed congestion minimization problem on networks of size M unless NP ⊆ Z...
Matthew Andrews, Lisa Zhang
FOCS
2004
IEEE
13 years 11 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau
FOCS
2009
IEEE
14 years 2 months ago
Symmetry and Approximability of Submodular Maximization Problems
Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
Jan Vondrák