TY  - JOUR
A1  - Kohl, Florian
A1  - Olsen, McCabe
A1  - Sanyal, Raman
T1  - Unconditional reflexive polytopes
T2  - Discrete & computational geometry
N2  - A convex body is unconditional if it is symmetric with respect to reflections in all coordinate hyperplanes. We investigate unconditional lattice polytopes with respect to geometric, combinatorial, and algebraic properties. In particular, we characterize unconditional reflexive polytopes in terms of perfect graphs. As a prime example, we study the signed Birkhoff polytope. Moreover, we derive constructions for Gale-dual pairs of polytopes and we explicitly describe Gröbner bases for unconditional reflexive polytopes coming from partially ordered sets.
KW  - Unconditional polytopes
KW  - Reflexive polytopes
KW  - Unimodular triangulations
KW  - Perfect graphs
KW  - Gale-dual pairs
KW  - Signed Birkhoff polytopes
Y1  - 2020
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/81307
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-813072
SN  - 1432-0444
N1  - Open Access funding provided by Projekt DEAL.
VL  - 64
IS  - 2
SP  - 427
EP  - 452
PB  - Springer
CY  - New York, NY ; [Berlin ; Heidelberg]
ER  -