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# A Fast and Simple Parallel Algorithm for the Monotone Duality Problem

@inproceedings{Boros2009AFA, title={A Fast and Simple Parallel Algorithm for the Monotone Duality Problem}, author={Endre Boros and Kazuhisa Makino}, booktitle={ICALP}, year={2009} }

- Published 2009 in ICALP
DOI:10.1007/978-3-642-02927-1_17

We consider a hypergraph F and the problem of generating the family of its minimal transversals G = F . In the corresponding decision problem we given two hypergraphs, F and G, which is a subfamily = F , and we have to recognize if G = F , or produce an edge T belonging to F −G. These are long standing challenging problems, the complexity of which is not known. The first non-exponential algorithm is by Fredman and Khachiyan (1996) solves the decision problem in O(N logN/ log ), where N = |F… CONTINUE READING

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