Oct 20, 2019   10:09 p.m. Vendelín
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Symmetric representations of discrete structures on compact surfaces

Supervisor: prof. RNDr. Jozef Širáň, DrSc.

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Project description:The aim of the project is to generate new results in the theory of maps with high level of symmetry, with emphasis on (orientably) regular maps, that is, graph embeddings with largest admissible group of (orientation preserving) automorphisms. Such maps may, in addition, represent also discrete structures such as designs or Latin squares and the maps may also admit a non-trivial group of external symmetries generated by operators of duality, Petrie duality and admissible exponent (or Wilson) operators. Anticipated outcomes will comprise new results on maps and surface representations of discrete structures with high level of symmetry and on the corresponding symmetry groups. Our research will focus on topics such as vertex quasiprimitivity, regular maps of given Euler characteristic, constructions of orientably regular maps with a given exponent group, discrete structures represented by Cayley maps, and on selected application-driven classes of maps and graphs with high level of symmetry.
Kind of project:VEGA ()
Department:Department of Mathematics and Constructive Geometry (FCE)
Project identification:1/0142/17
Project status:In process of execution
Project start date :01. 01. 2017
Project close date:31. 12. 2019
Number of workers in the project:2
Number of official workers in the project:0