A Search of The Four-Color Theorem and its Higher Dimensional Generalization
General Mathematics
2014-08-11 v1
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.
Keywords
Cite
@article{arxiv.1408.1927,
title = {A Search of The Four-Color Theorem and its Higher Dimensional Generalization},
author = {Qizhi Wang},
journal= {arXiv preprint arXiv:1408.1927},
year = {2014}
}
Comments
6 pages, 2 figures