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      Three color theorem and Four color theorem

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      research-article
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      ScienceOpen Preprints
      ScienceOpen
      Plane graph, Coloring, Four color theorem,Three color theorem
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            Abstract

            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.

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            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            21 February 2022
            Affiliations
            [1 ] Huaian Gaoliangjian Primary School, Hongze District, Huaian City, Jiangsu Province, China
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PP36ZX1.v1
            f9399b9c-fe6d-46d8-ae32-1ab5406c31ce

            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 .


            All data generated or analysed during this study are included in this published article (and its supplementary information files).
            Mathematics
            Plane graph, Coloring, Four color theorem,Three color theorem

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