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4色猜想证明及验证
引用本文:潘坤娜,潘芳荣.4色猜想证明及验证[J].前沿科学,2013(1):73-83.
作者姓名:潘坤娜  潘芳荣
作者单位:北京用友公司;北京前沿科学研究所
摘    要:先将地球表面上任何多个图形分为1图形包围内:1国图形、奇(2n+1)线接壤、偶(2n)线接壤、奇(2n+1)互接壤、偶(2n)互接壤、奇(2n+1)包围、偶(2n)包围(n≥1整数)、1包围等单独8大基本类型。先证各单独8大基本类型,可用≤4色完成接壤隔离填色。再证明任何多单独8大基本类型的“单独奇(2n+1)互接壤、奇(2n+1)包围(n≥1整数)”的组合,可用≤4色完成接壤隔离填色。再证明任何多单独8大基本类型的任(n≥1整数)组合,可用≤4色完成接壤隔离填色。证明4色猜想成立。并给出验证。

关 键 词:1包围  八大类  夹逼

4-color Conjecture to Prove and Verify
Pan Kunna Pan Fangrong.4-color Conjecture to Prove and Verify[J].Frontier Science,2013(1):73-83.
Authors:Pan Kunna Pan Fangrong
Institution:Pan Kunna Pan Fangrong (1 UFIDA Softwar Beijing;2Beijing Institute of Frontier Science,Beijing)
Abstract:First surface of the Earth any more of the graphics is divided into a graphical surrounded by a country graphics, odd (2n +1) line bordering even (2n) line bordering the odd (2n +1) bordering each other, even (2n) each other: bordering the odd (2n +1) surrounded by even (2n) surrounded by (n ≥ 1 integer), surrounded by a separate eight basic types. Proband alone eight basic types can be used ≤ 4 color to complete the coloring bordering the isolation. To prove any separate eight basic types of "separate odd (2n + 1) bordering each other, the odd (2n + 1) surrounded by (n≥ 1 integer)" combination can be used ≤ 4 colors completed bordering isolation coloring. To prove any more than separate basic types of any combination of (n ≥ 1 integer), can be used ≤ 4 colors to complete the coloring bordering the isolation. The proof of four color conjecture is true. And gives validation.
Keywords:1 surrounds the inner  Eight Major types  The squeeze theorem
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