Abstraktni poligonalni kompleksi in njihove reprezentacije / Abstract polygonal complexes and their representations

(SI) Razvili bomo teorijo abstraktnih poligonalnih kompleksov in njihovih reprezentacij ter realizacij. Teorijo abstraktnih poligonalnih kompleksov bomo nadgradili z računalniško implementacijo.
Preučevali bomo tudi praporne grafe, ki so jih uporabljali predvsem za zemljevide na sklenjenih ploskvah. Mi pa jih želimo proučevati za splošne abstraktne poligonalne komplekse, predvsem v zvezi s simetrijo. Nameravamo tudi obravnavati tiste operacije na njih, ki jih je možno opisati s subdivizijo prapornih trikotnikov.
(EN) We will develop a theory of abstract polygonal complexes and their representations and realisations. We will build on the theory of abstract polygonal complexes with a computational implementation. We will also study threshold graphs, which have been used mainly for maps on closed surfaces. We want to study them for general abstract polygonal complexes, in particular with respect to symmetry. We also intend to consider those operations on them which can be described by subdivision of the prime triangles.