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arXiv · 2507.16759

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

Sergey Kurapov·Maxim Davidovsky
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Abstract

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.

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Sergey Kurapov, Maxim Davidovsky. 2025-07-22. Algorithmic methods of finite discrete structures. Topological graph drawing (part IV). https://arxiv.org/abs/2507.16759

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