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Algorithmic methods of finite discrete structures. Topological graph drawing (part IV)

Published: July 22, 2025 | arXiv ID: 2507.16759v1

By: Sergey Kurapov, Maxim Davidovsky

Potential Business Impact:

Draws complex maps of connected things.

The chapter presents mathematical models intended for creating a topological drawing of a non-separable non-planar graph based on the methods of G. Ringel's vertex rotation theory. The induced system of cycles generates a topological drawing of a certain thickness. A method for determining the location of imaginary vertices by finding the intersection of connections on a plane is presented. A topological drawing of a maximum planar subgraph is used as a basis.

Page Count
67 pages

Category
Mathematics:
Combinatorics