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arXiv · 1606.08226

Weak embeddings of posets to the Boolean lattice

Dömötör Pálvölgyi
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Abstract

The goal of this paper is to prove that several variants of deciding whether a poset can be (weakly) embedded into a small Boolean lattice, or to a few consecutive levels of a Boolean lattice, are NP-complete, answering a question of Griggs and of Patkos. As an equivalent reformulation of one of these problems, we also derive that it is NP-complete to decide whether a given graph can be embedded to the two middle levels of some hypercube.

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Dömötör Pálvölgyi. 2016-06-27. Weak embeddings of posets to the Boolean lattice. https://doi.org/10.23638/dmtcs-20-1-7

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