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arXiv · 2610.29131

Small covers and the Four Color Theorem

Suyoung Choi·Ringi Kim
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Abstract

We give a combinatorial proof that every simple convex $3$-polytope admits a small cover without using the Four Color Theorem. We also prove that the assertion that every simple plane triangulation admits a mod~$2$ characteristic function with at most five values is equivalent to the Four Color Theorem.

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Suyoung Choi, Ringi Kim. 2026-10-21. Small covers and the Four Color Theorem. https://arxiv.org/abs/2610.29131

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