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STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 7 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 6 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 10 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 7 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 11 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...