Open problems on k-orbit polytopes

Abstract:

We present 35 open problems on combinatorial, geometric and algebraic aspects of k-orbit abstract polytopes. We also present a theory of rooted polytopes that has appeared implicitly in previous work but has not been formalized before.

Keywords: Rooted abstract polytope; Operation on k-orbit polytopes; Realization of k-orbit polytopes

Journal: Discrete Mathematics

ISSN: 1872-681X

Year: 2018

Volume: 341

Number: 6

Pages: 1645-1661

Zbl Number: 06861858

MR Number: 3784786

Revision: 1

URL: http://dx.doi.org/10.1016/j.disc.2018.03.004

DOI: 10.1016/j.disc.2018.03.004