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arXiv:2212.09835math.CO

A non-constructive proof of the Four Colour Theorem

D. M. Jackson, L. B. Richmond

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Abstract

The approach is through a singularity analysis of generating functions for 3- and 4-connected triangulations, asymptotic analysis, properties of the ${{}_3F_2}$ hypergeometric series, and Tutte's enumerative work on planar maps and chromatic polynomials.

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Subjects
math.COCombinatorics

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