Generating all maximal independent sets of bounded-degree hypergraphs

@inproceedings{Mishra1997GeneratingAM,
  title={Generating all maximal independent sets of bounded-degree hypergraphs},
  author={Nina Mishra and L. Pitt},
  booktitle={COLT '97},
  year={1997}
}
We show that any monotone function with a read-k CNF representation can be learned in terms of its DNF representation with membership queries alone in time polynomial in the DNF size and n (the number of variables) assuming k is some fixed constant. The problem is motivated by the well-studied open problem of enumerating all maximal independent sets of a given hypergraph. Our algorithm gives a solution for the bounded degree case and works even if the hypergraph is not input, but rather only… Expand
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