Combinatorics and Graph Theory


A Proof of the Four Color Theorem by Induction

Authors: Quang Nguyen Van

We choose one of four colors as a temporary color for all regions that have not been colored,and made the initial conditions corresponding to The Four Color Theorem. If these conditions hold for any n regions figure, then they will hold for n + 1 regions figure - formed n regions figure by adding next region. By induction, step by step we have proved The Four Color theorem successfully on paper (in 2015).

Comments: 14 pages. We have other one written in tex.file

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Submission history

[v1] 2016-01-22 21:57:43

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