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STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 5 months ago
New results on monotone dualization and generating hypergraph transversals
This paper considers the problem of dualizing a monotone CNF (equivalently, computing all minimal transversals of a hypergraph), whose associated decision problem is a prominent o...
Thomas Eiter, Georg Gottlob, Kazuhisa Makino
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...
DM
2010
89views more  DM 2010»
13 years 4 months ago
Polynomial-time dualization of r-exact hypergraphs with applications in geometry
Let H 2V be a hypergraph on vertex set V . For a positive integer r, we call H r-exact, if any minimal transversal of H intersects any hyperedge of H in at most r vertices. This ...
Khaled M. Elbassioni, Imran Rauf
ICALP
2001
Springer
13 years 9 months ago
On Generating All Minimal Integer Solutions for a Monotone System of Linear Inequalities
We consider the problem of enumerating all minimal integer solutions of a monotone system of linear inequalities. We first show that for any monotone system of r linear inequaliti...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...