Naslov
Zonotopes and Parallelotopes

Autori
Dutour Sikirić, Mathieu ; Grishukhin, Viatcheslav

Izvornik
Southeast asian bulletin of mathematics (0129-2021) 41 (2017), 2; 197-207

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo

Ključne riječi
parallelotope, Voronoi polytope, zonotope

Sažetak
Voronoi defined two polyhedral partitions of the cone of semidefinite forms into L-type domains and into perfect domains. Up to equivalence, there is only one domain that is simultaneously perfect and L-type. Voronoi called this domain principal. We show that closure of the principal domain may be identified with a cone of cut submodular set functions. Parallelotopes of the closed principal domain are zonotopes that are base polyhedra related to graphic unimodular sets of vectors.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA