(SI) V tem sodelovanju nameravamo preučevati diskretne geometrijske objekte z visoko stopnjo simetrije. Prvo področje raziskovanja tega projekta bo preučevanje abstraktnih pravilnih politopov. Abstraktni politop (na kratko politop) je delno urejena množica končnega ranga, katere lastnosti posnemajo nekatere značilnosti čelnih mrež konveksnih politopov. Zastave politopa ustrezajo maksimalnim verigam v množici, ključno orodje pri njihovem preučevanju pa je pripadajoči graf zastav. V okviru našega prejšnjega bilateralnega projekta smo preučevali praporne grafe pravilnih politopov z dveh vidikov Cayleyjevih grafov: hamiltoničnosti in Cayleyjevega indeksa, glej članek [BKW] zgoraj.
(EN) In this cooperation, we plan to study discrete geometric objects with a high degree of symmetry. The first area of investigation for this project will be in the study of abstract regular polytopes. An abstract polytope (a polytope for short) is a partially ordered set of finite rank whose properties mimic some of the features of the face lattices of convex polytopes. The flags of a polytope correspond to the maximal chains in the poset, and a key tool in their study is the associated flag graph. In the framework of our previous bilateral project, we studied the flag graphs of regular polytopes from two aspects of Cayley graphs: hamiltonicity and Cayley index, see article [BKW] above.