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WG
2007
Springer
13 years 11 months ago
Lower Bounds for Three Algorithms for the Transversal Hypergraph Generation
Abstract. The computation of all minimal transversals of a given hypergraph in output-polynomial time is a long standing open question known as the transversal hypergraph generatio...
Matthias Hagen
SIAMCOMP
2000
109views more  SIAMCOMP 2000»
13 years 4 months ago
Dual-Bounded Generating Problems: Partial and Multiple Transversals of a Hypergraph
Abstract. We consider two natural generalizations of the notion of transversal to a finite hypergraph, arising in data-mining and machine learning, the so called multiple and parti...
Endre Boros, Vladimir Gurvich, Leonid Khachiyan, K...
ICALP
2000
Springer
13 years 8 months ago
Generating Partial and Multiple Transversals of a Hypergraph
We consider two natural generalizations of the notion of transversal to a finite hypergraph, arising in data-mining and machine learning, the so called multiple and partial transve...
Endre Boros, Vladimir Gurvich, Leonid Khachiyan, K...
ESA
2006
Springer
112views Algorithms» more  ESA 2006»
13 years 8 months ago
Enumerating Spanning and Connected Subsets in Graphs and Matroids
We show that enumerating all minimal spanning and connected subsets of a given matroid is quasi-polynomially equivalent to the well-known hypergraph transversal problem, and thus ...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 7 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx