Revisiting Cases 2 and 11 of the Map Color Theorem
Combinatorics
2026-04-21 v2
Abstract
In 1968, Ringel and Youngs solved the remaining cases of the orientable Map Color Theorem by finding genus embeddings of the complete graphs , for sufficiently large . Following the approach previously explored by the author for , we aim to streamline their constructions for by finding families of current graphs with simpler patterns for the arc labelings.
Keywords
Cite
@article{arxiv.2509.06407,
title = {Revisiting Cases 2 and 11 of the Map Color Theorem},
author = {Timothy Sun},
journal= {arXiv preprint arXiv:2509.06407},
year = {2026}
}
Comments
10 pages, 10 figures