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A new bound on the 2-dimension of partially ordered sets

Eric Thierry 1
1 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : This paper provides a new upper bound on the 2-dimension of partially ordered sets. The proof is non-constructive and uses a probabilistic argument. We link the result and the proof with two known theorem of the theory of ordered sets.
Mots-clés : ensemble partiellement ordonné boolean lattice partially ordered set 2-dimension order-embedding plongements d'ordre treillis booléen
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https://hal.inria.fr/inria-00147589
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Submitted on : Friday, May 18, 2007 - 4:37:00 PM
Last modification on : Friday, February 4, 2022 - 3:23:19 AM

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  • HAL Id : inria-00147589, version 1

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INRIA | CNRS | LARA | LORIA | UNIV-LORRAINE | INRIA2

Citation

Eric Thierry. A new bound on the 2-dimension of partially ordered sets. [Technical Report] A03-R-425 || thierry03a, 2003, 5 p. ⟨inria-00147589⟩

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