A non-constructive proof of the Four Colour Theorem
Combinatorics
2023-12-05 v4
Abstract
The approach is through a singularity analysis of generating functions for 3- and 4-connected triangulations, asymptotic analysis, properties of the hypergeometric series, and Tutte's enumerative work on planar maps and chromatic polynomials.
Cite
@article{arxiv.2212.09835,
title = {A non-constructive proof of the Four Colour Theorem},
author = {D. M. Jackson and L. B. Richmond},
journal= {arXiv preprint arXiv:2212.09835},
year = {2023}
}