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Weak embeddings of posets to the boolean lattice

Pálvölgyi, Dömötör (2018) Weak embeddings of posets to the boolean lattice. DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 20 (1). ISSN 1462-7264

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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 Patkós. 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 into the two middle levels of some hypercube. © 2018 by the author(s)

Item Type: Article
Subjects: Q Science / természettudomány > Q1 Science (General) / természettudomány általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Mar 2023 11:05
Last Modified: 06 Mar 2023 11:05
URI: http://real.mtak.hu/id/eprint/161474

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