Complexity of cover-preserving embeddings of bipartite orders into Boolean lattices

نویسنده

  • Grzegorz Herman
چکیده

A b s t r a c t. We study the problem of deciding, whether a given partial order is embeddable into two consecutive layers of a Boolean lattice. Employing an equivalent condition for such embeddability similar to the one given by J. Mittas and K. Reuter [5], we prove that the decision problem is NP-complete by showing a polynomial-time reduction from the not-all-equal variant of the Satisfiability problem.

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عنوان ژورنال:
  • Reports on Mathematical Logic

دوره 49  شماره 

صفحات  -

تاریخ انتشار 1997