Graphs, group, surfaces und symmetries.Supervisor: prof. RNDr. Jozef Širáň, DrSc.
This page shows details on the project. The primary projects are displayed together with a list of sub-projects.
|Project description:||Theory of maps (embedded graphs) on connected surfaces embodies group theory, graph theory, and algebraic topology. The essence of the project lies in two mutually intertwined levels. The first one is to gain new results in the field of highly symmetric maps (regular maps) and related areas, such as Cayley graphs and maps, embeddings with certain extremal properties (triangulations, maps of given planar width, etc.). We would also like to obtain new results related to basic methods used in algebraic and topological graph theory (the theory of triangle groups and their representations, theory of covering spaces in terms of voltage assignments, etc.). The second level of the project is to enable our graduate students to deepen their knowledge in graph theory with strong relation to algebraic topology and group theory, providing thereby an opportunity to acquire a solid education in mathematics.|
|Kind of project:||VEGA ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||Successfully completed|
|Project start date :||01. 01. 2005|
|Project close date:||31. 12. 2007|
|Number of workers in the project:||1|
|Number of official workers in the project:||0|