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Journal of the ACM (JACM)
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Journal of Algorithms
On generating all maximal independent sets
Information Processing Letters
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Journal of Computer and System Sciences - 17th Annual ACM Symposium in the Theory of Computing, May 6-8, 1985
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On the parallel complexity of computing a maximal independent set in a hypergraph
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Information Processing Letters
Exact transversal hypergraphs and application to Boolean &mgr;-functions
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SIAM Journal on Computing
A simple NC-algorithm for a maximal independent set in a hypergraph of poly-log arboricity
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On the complexity of dualization of monotone disjunctive normal forms
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Parallel search for maximal independence given minimal dependence
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
New results on monotone dualization and generating hypergraph transversals
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
The Combinatorics of Network Reliability
The Combinatorics of Network Reliability
Efficient dualization of O(log n)-term monotone disjunctive normal forms
Discrete Applied Mathematics
On the complexity of the multiplication method for monotone CNF/DNF dualization
ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
A Data Mining Formalization to Improve Hypergraph Minimal Transversal Computation
Fundamenta Informaticae
Computational aspects of monotone dualization: A brief survey
Discrete Applied Mathematics
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Discrete Applied Mathematics
About keys of formal context and conformal hypergraph
ICFCA'08 Proceedings of the 6th international conference on Formal concept analysis
Parallel computation of the minimal elements of a poset
Proceedings of the 4th International Workshop on Parallel and Symbolic Computation
Left-to-Right Multiplication for Monotone Boolean Dualization
SIAM Journal on Computing
A Data Mining Formalization to Improve Hypergraph Minimal Transversal Computation
Fundamenta Informaticae
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We consider the problem of finding all minimal transversals of a hypergraph ${\mathcal H}\subseteq 2^V$, given by an explicit list of its hyperedges. We give a new decomposition technique for solving the problem with the following advantages: (i) Global parallelism: for certain classes of hypergraphs, e.g. hypergraphs of bounded edge size, and any given integer k, the algorithm outputs k minimal transversals of ${\mathcal H}$ in time bounded by ${\rm polylog}(|V|,|{\mathcal H}|,k)$ assuming ${\rm poly}(|V|,|{\mathcal H}|,k)$ number of processors. Except for the case of graphs, none of the previously known algorithms for solving the same problem exhibit this feature. (ii) Using this technique, we also obtain new results on the complexity of generating minimal transversals for new classes of hypergraphs, namely hypergraphs of bounded dual-conformality, and hypergraphs in which every edge intersects every minimal transversal in a bounded number of vertices.