A Search of The Four-Color Theorem and its Higher Dimensional Generalization

Qizhi Wang

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arXiv · 1408.1927

A Search of The Four-Color Theorem and its Higher Dimensional Generalization

Qizhi Wang

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Abstract

Four-Color Theorem has secret in its logical proof and actual operating. In this paper we will give a proof of Four-Color Theorem based on Kuratowski's Theorem using some induction argument and give a description of the most complicated coloring map, a simple proof of Kuratowski's Theorem using Euler charateristic is also presented. We also conjecture the higher dimensional generalization of Four-Color Theorem.

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Qizhi Wang. 2014-08-02. A Search of The Four-Color Theorem and its Higher Dimensional Generalization. https://arxiv.org/abs/1408.1927

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