Combinatorics and Graph Theory

    

Dimensions and Coloring of a Graph

Authors: Volker Thürey

In the first part, we introduce several notions of graph dimensions. These concepts are inspired by the classical idea of a `dimension' which was introduced around 60 years ago. We provide simple examples to illustrate them. In the second part, we define new types of graph colorings, derived from the Chromatic Number and the Chromatic Index. We apply coloring to both the vertices and the the edges. Finally, we generalize the concept of the `Chromatic Number of the Plane'.

Comments: 7 Pages.

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[v1] 2026-03-07 09:52:56

Unique-IP document downloads: 86 times

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