the four color theorem:四色定理 下载积分: 2000 内容提示: The Four Color TheoremYuriy BrunAbstract. In this paper, we introduce graph theory, and discuss the Four Color Theorem.Then we prove several theorems, including Euler’s formula and the Five Color Theorem.1. Introduction. According to [...
Formal Proof—The Four-Color TheoremGeorges GonthierThe Tale of a BrainteaserFrancis Guthrie certainly did it, when he coined hisinnocent little coloring puzzle in 1852. He man-aged to embarrasssuccessively his mathematicianbrother, his brother’s professor, Augustus de Mor-gan, and all of de Mor...
1 For the most part, we will designate these four colors by the numbers 1, 2, 3, 4, and sometimes also by 0,1, 2, 3. This has an additional advantage. One can then extend the discussion to more than four colors without any further difficulty. In fact, one is able to color with...
in which, George Gamow introduced the four-color theorem. Upon seeing the Switzerland Map, I had an premonition that I could prove the four-color theorem. I never thought of proving the theorem, although I had known what the four-color theorem was about. ...
当当中国进口图书旗舰店在线销售正版《【预订】The Four-Color Theorem: History, Topological Foundations, and Idea of Proof》。最新《【预订】The Four-Color Theorem: History, Topological Foundations, and Idea of Proof》简介、书评、试读、价格、图片等相关信息,
書的第一部分和附錄包含了許多關於平面圖的經典結論,可以作為熟悉這一領域思考方法的入門。它們中的許多都是伴隨著證明四色定理的過程出現的,這也說明好的問題總是啟發著理論的發展。 第二部分介紹了更多由四色問題引出的染色問題。對我來說最有意思的結論(Tutte)大概是:黃金根 (3+\sqrt{5})/2 永遠不是染色多...
In some cases, like the first example, we could use fewer than four. In many cases we could use a lot more colors if we wanted to, but a maximum of four colors is enough!This result has become one of the most famous theorems of mathematics and is known as The Four Color Theorem....
This elegant little book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map such that no two adjoining countries have the same color, no matter how convoluted their boundaries. Many famous mathematicians...
1. Synopsis of the Four Color Theorem The Four Color Theorem of the map is the first raised by Francis Guthrie of the English university student. The content of the Four Color theorem is that it is used four color for any one map with the common border between of the different countries...
The Four Color TheoremThis library contains a formal proof of the Four Color Theorem in Coq, along with the theories needed to support stating and then proving the Theorem. This includes an axiomatization of the setoid of classical real numbers, basic plane topology definitions, and a theory ...