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)