摘要
定义一个区域,对区域的范围、线段、多个区域相交的交点以及相邻区域的边界等作出定义,同时定义一个基础颜色,通过对地图中的交点进行收缩或膨胀,分别从交点收缩或膨胀后的状况进行分析,把一幅由边界和交点构成的复杂区域地图,简化为仅仅只有边界的地图,得出了构成一幅地图最多只用四种颜色便可区分所有的区域的结论。
The closed space is defined as an area,and then the background color of the map is defined.The section connecting more than three boundaries is regarded as the intersection point,and the line segment connecting two regions is defined as the boundary.After reducing or expanding the in-tersection points of the map,the complex area map with boundary and intersection points is sim-plified to a map with only boundary.The results show that four kinds of color can be used to dis-tinguish different areas in the map.
出处
《理论数学》
2019年第3期410-413,共4页
Pure Mathematics
