Uporaba simetrijskih grafov pri konveksnih poliedrih
(The application of symmetry-type graphs to convex polyhedra) : doktorska disertacija

slovenian

2013

Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije

Flag graphs and symmetry-type graphs, discovered around 1980, were used in the past mostly for the classification of maps - i.e. graphs, cellularly embedded into compact surfaces. The purpose of this work is to demonstrate some extensions of their application. In the first part of this work a similar classification of polyhedra with regular faces is given. We present also a characterization of these polyhedra by minimal number of parameters. In the second part of the dissertation we classify in a similar manner the class of molecules, made of regular hexagons, considering also their point groups. In the third part of this work we extend the definition of symmetry-type graphs to hypermaps and geometrical configurations, and finally to spherical polyhedra and spherical molecules.

31.07.2023