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AAIM
2006
Springer
75views Algorithms» more  AAIM 2006»
13 years 11 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 5 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»
13 years 11 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 9 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
13 years 12 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