Pálvölgyi, Dömötör - Weak embeddings of posets to the Boolean lattice

dmtcs:3684 - Discrete Mathematics & Theoretical Computer Science, January 24, 2018, Vol. 20 no. 1 - https://doi.org/10.23638/DMTCS-20-1-7
Weak embeddings of posets to the Boolean lattice

Authors: Pálvölgyi, Dömötör

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.

Volume: Vol. 20 no. 1
Section: Graph Theory
Published on: January 24, 2018
Submitted on: May 24, 2017
Keywords: Computer Science - Discrete Mathematics,Mathematics - Combinatorics


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