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arXiv · 1803.09207

Revisiting Mayer: Symmetric solutions for sporadic cases of the Map Color Theorem

Timothy Sun
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Abstract

The original proof of the genus of the complete graphs $K_n$ depended on Mayer's \emph{ad hoc} solutions for $n = 18, 20, 23$. Recently, an improved solution for $K_{20}$ was found by the author. The purpose of this note is to use the theory of current graphs to interpret the aforementioned result and to provide new embeddings of $K_{18}$ and $K_{23}$.

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Timothy Sun. 2018-03-25. Revisiting Mayer: Symmetric solutions for sporadic cases of the Map Color Theorem. https://arxiv.org/abs/1803.09207

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