Abstract Polygonal Complexes
Presented by Prof. Tomaž PISANSKI
Type: Oral presentation
Track: Symmetries in Graphs, Maps and Other Discrete Structures
We briefly outline a theory of abstract polygonal complexes and their representations. The theory enables a uniform approach to maps on surfaces and their polyhedral representations. In particular, the relationship between automorphism groups of abstract polygonal complexes and the symmetry groups of their geometric representation is explored. The talk will be illustrated by computer implementation of most important features of this theory.