否定希伍德的“有名反例”和他证明的“五色定理”  

Deny Heawood's "the famous counter-example" and "the Five Color theorem" of Heawood proving

作　　者：董德周 

机构地区：[1]中国管理科学院节能技术研究所,北京100080

出　　处：《前沿科学》2011年第1期78-85,共8页Frontier Science

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。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.

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 

分 类 号：O157.5[理学—数学]