首页 | 本学科首页   官方微博 | 高级检索  
     检索      

否定希伍德的“有名反例”和他证明的“五色定理”
引用本文:董德周.否定希伍德的“有名反例”和他证明的“五色定理”[J].前沿科学,2011,5(1):78-85.
作者姓名:董德周
作者单位:中国管理科学院节能技术研究所,北京,100080
摘    要:我在研究《四色定理普遍地证明》中,发现希伍德证明了震动数学界100多年的"有名反例"和"五色定理"都是错误的。我揭开了希伍德在证明"反例"上有重大错误的秘密,并证明反例是4-色的,从而否定希伍德的"有名反例";同时我指出了希伍德对顶点数套用数学归纳法的格式来证明"五色定理"的方法是错误的,从而否定了希伍德证明的"五色定理",为《四色定理普遍地证明》打下了基础。

关 键 词:四色定理  五色定理  希伍德  最大平面图  反例  不可约图  肯普链  顶点  度数  数学归纳法

Deny Heawood's "the famous counter-example" and "the Five Color theorem" of Heawood proving
Dong DeZhou.Deny Heawood's "the famous counter-example" and "the Five Color theorem" of Heawood proving[J].Frontier Science,2011,5(1):78-85.
Authors:Dong DeZhou
Institution:Dong DeZhou (Institute of Energy Saving Technldues, Chinese Academy of Managerial Sciences, Beijing 100080,China)
Abstract:I research "Four Color Theorems Are Proved Generally", I discovered that "the famous counterexample" and "the Five Color theorem" which shook mathematics field more than 100 years proved by Headwood are wrong. I uncover a secret that there is a significant wrong in Heawood proved "counterexample', and I proved that Heawood's counter-example is 4-color. Thus I deny Heawood's "the famous counter-example'. I am pointed out that Heawood applied the mathematical induction for the vertex number to prove "the Five Color theorem" is incorrect, thus I deny "the Five Color theorem" of Headwood proving. For the "Four Color Theorems Are Proved Generally" has built the foundation.
Keywords:The four color Theorem  Heawood  The Five Color Theorem  the maximal planar graph  counterexample  irreducible graphs  Kempe's chain  svertex  degree  mathematical induction  
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号