Algorithms for recognizing bipartite-Helly and
          bipartite-conformal hypergraphs*, **

Marina Groshaus; Jayme Luis Szwarcfiter

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Algorithms for recognizing bipartite-Helly and bipartite-conformal hypergraphs,

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A hypergraph is Helly if every family of hyperedges of it, formed by pairwise intersecting hyperedges, has a common vertex. We consider the concepts of bipartite-conformal and (colored) bipartite-Helly hypergraphs. In the same way as conformal hypergraphs and Helly hypergraphs are dual concepts, bipartite-conformal and bipartite-Helly hypergraphs are also dual. They are useful for characterizing biclique matrices and biclique graphs,...

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