Three color theorem and Four color theorem

According to the arrangement order of the vertexes in the line, the two-color theorem is derived. Add auxiliary lines to the vertexes that do not conform to the four-color closed chain, the one-color theorem and the two-color theorem,the coloring order of each vertex is locked, and the three-color theorem is derived. According to the one-color theorem, the two-color theorem, the three-color theorem and the law of chain structure, the four-color theorem is derived.

Content

Author and article information

Journal

Title: ScienceOpen Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 21 February 2022

Affiliations

[1 ] Huaian Gaoliangjian Primary School, Hongze District, Huaian City, Jiangsu Province, China

Author notes

[* ]Email: ddr123@ 123456sina.com .

Author information

Zhaosheng Zhang https://orcid.org/0000-0001-7465-0522

Article

DOI: 10.14293/S2199-1006.1.SOR-.PP36ZX1.v1

SO-VID: f9399b9c-fe6d-46d8-ae32-1ab5406c31ce

License:

This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

History

Date received : 21 February 2022

Data availability: All data generated or analysed during this study are included in this published article (and its supplementary information files).

ScienceOpen disciplines: Mathematics

Keywords: Plane graph, Coloring, Four color theorem,Three color theorem