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邻域和开集拓扑溯源与四色问题构造法逻辑证明

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在分析邻域和开集的定义、性质基础上,针对拓扑学对二者的等价描述、相互包含涵义、开集特征等问题,对邻域和开集展开拓扑溯源,提出可以刻画出二者特性的二象函数ex.针对地图四色问题的拓扑性质,提出用对称点同色法着色原理的构造法逻辑证明四色问题的简捷方法.
Topology Tracing of Neighborhood and Open Set and Logical Proof of Four-color Problem Construction Method
On the basis of analyzing the definitions and properties of neighborhood and open set,aiming at the equivalent description,mutual inclusion meaning and open set characteristics of the two problems in topology,the derivation of neighborhood and open set is expanded topologically,and a binary function is proposed which can describe the characteristics of both.Aiming at the topological property of the four-color problem of map,a simple method is proposed to prove the four-color problem by constructing the coloring principle of the same color method with symmetrical points.

binary function exthe point of symmetryhomochromatic methodtectonic method

崔岩、崔朝栋

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北华航天工业学院计算机学院,河北廊坊 065000

中国建筑科学研究院建筑机械化研究分院,河北廊坊 065000

二象函数 对称点 同色法 构造法

2024

北华航天工业学院学报
北华航天工业学院

北华航天工业学院学报

影响因子:0.265
ISSN:1673-7938
年,卷(期):2024.34(2)
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