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关于Whitney和Tutte猜想
引用本文:谢力同,刘桂真.关于Whitney和Tutte猜想[J].数学学报,1995,38(3):289-293.
作者姓名:谢力同  刘桂真
作者单位:山东大学数学研究所
摘    要:whitney和Tutte把平面四色问题化为只与圈上的4染色集有关的问题来研究,从而探讨四色问题的理论证明;提出了一个蕴含着四色定理的猜想。本文研究开集的组合不变性,从而证明Whitney和Tutte的猜想不成立。

关 键 词:圈、染色、组合运算、开集
收稿时间:1992-7-25

On Whitney’s and Tutte’s Conjecture
Xie Litong, Liu Guizhen.On Whitney’s and Tutte’s Conjecture[J].Acta Mathematica Sinica,1995,38(3):289-293.
Authors:Xie Litong  Liu Guizhen
Institution:Xie Litong; Liu Guizhen(Institute of Mathematics,Shandong University, Ji’nan 250100, China)
Abstract:To look into the method of theoretial proof of the four colour problem Whitney andTutte studied the four colour problem by transforming the four colour problem into a problem on4-colourings of circuits.Furthermore,they proposed a conjecture which implies the four colourconjecture. In this paper the combinatorial invariance of Kempe sets is studied and it is provedthat Whitney’s and Tutte’s conjecture is not true.
Keywords:circnit  colouring  combinatorial operations  open set
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