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» A Fast Approximation for Maximum Weight Matroid Intersection
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DAM
2006
136views more  DAM 2006»
13 years 4 months ago
The complexity of maximum matroid-greedoid intersection and weighted greedoid maximization,
The maximum intersection problem for a matroid and a greedoid, given by polynomialtime oracles, is shown NP-hard by expressing the satisfiability of boolean formulas in 3-conjunct...
Taneli Mielikäinen, Esko Ukkonen
FCT
2001
Springer
13 years 9 months ago
The Complexity of Maximum Matroid-Greedoid Intersection
Abstract. The maximum intersection problem for a matroid and a greedoid, given by polynomial-time oracles, is shown NP-hard by expressing the satisfiability of boolean formulas in...
Taneli Mielikäinen, Esko Ukkonen
COCOON
2003
Springer
13 years 9 months ago
Matroid Representation of Clique Complexes
In this paper, we approach the quality of a greedy algorithm for the maximum weighted clique problem from the viewpoint of matroid theory. More precisely, we consider the clique c...
Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno
GECCO
2007
Springer
177views Optimization» more  GECCO 2007»
13 years 10 months ago
Evolutionary algorithms and matroid optimization problems
We analyze the performance of evolutionary algorithms on various matroid optimization problems that encompass a vast number of efficiently solvable as well as NP-hard combinatoria...
Joachim Reichel, Martin Skutella
WG
2004
Springer
13 years 10 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern