The minkowski property and reflexivity of marked poset polytopes

authored by

Xin Fang, Ghislain Fourier, Christoph Pegel

Abstract

We provide a Minkowski sum decomposition of marked chain-order polytopes into building blocks associated to elementary markings and thus give an explicit minimal set of generators of an associated semi-group algebra. We proceed by characterizing the reflexive polytopes among marked chain-order polytopes as those with the underlying marked poset being ranked.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

University of Cologne
RWTH Aachen University

Type

Article

Journal

Electronic Journal of Combinatorics

Volume

27

No. of pages

19

ISSN

1077-8926

Publication date

24.01.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Theoretical Computer Science, Geometry and Topology, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.37236/8144 (Access: Open)