|国家预印本平台
首页|基于三段论的四色猜想证明

基于三段论的四色猜想证明

Syllogism-Based Proof of the Four-Color Guess

中文摘要英文摘要

首先提出一个三段论:所有极大平面图的最小色数不大于4,所有子图的最小色数不大于其基础图的最小色数,因为任一平面图都是极大平面图的子图,所以任一平面图的最小色数也不大于4;然后证明了三段论的大前提和小前提的正确性,并且根据三段论得出四色猜想成立的结论。

Firstly, a syllogism was presented to demonstrate the four-color guess. The major premise is that all maximum planar graph’s minimum color-number are not bigger than 4, and all the children’s minimum color-number is not bigger than their father’s minimum color-number. The minor premise is that each planar graph is a child graph of a maximum planar graph. The conclusion is the minimum color-number of every planar graph will not bigger than 4. Secondly, the major premise and the minor premise were demonstrated. Lastly, the four color guess was proved by the syllogism.

张全

数学

四色猜想子图极大平面图三段论

four-color guesschild graphmaximum planar graphsyllogism

张全.基于三段论的四色猜想证明[EB/OL].(2005-09-28)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200509-300.点此复制

评论