Publikationsdetails

On Piecewise-Linear Homeomorphisms Between Distributive and Anti-blocking Polyhedra

verfasst von
Christoph Pegel, Raman Sanyal
Abstract

Stanley (1986) introduced the order polytope and chain polytope of a partially ordered set and showed that they are related by a piecewise-linear homeomorphism. In this paper we view order and chain polytopes as instances of distributive and anti-blocking polytopes, respectively. Both these classes of polytopes are defined in terms of the componentwise partial order on. We generalize Stanley’s PL-homeomorphism to a large class of distributive polyhedra using infinite walks in marked networks.

Organisationseinheit(en)
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Externe Organisation(en)
Goethe-Universität Frankfurt am Main
Typ
Aufsatz in Konferenzband
Band
331
Seiten
95-114
Anzahl der Seiten
20
Publikationsdatum
02.09.2020
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Mathematik (insg.)
Elektronische Version(en)
https://doi.org/10.48550/arXiv.1911.12090 (Zugang: Offen)
https://doi.org/10.1007/978-3-030-52111-0_8 (Zugang: Geschlossen)