以极大平面图的结构研究为基础，采用常规的数学推理方法研究极大平面图的点色数问题。
Based on the study of the structure of maximum plane graph, with normal mathematic reasoning, this thesis studied the color number problem of maximum plane graph.
本文讨论了（4，6）-正则极大平面图，得到了（4，6）-正则极大平面图的存在条件及构造方法。
The (4,6)-regular maximum planar graph is studied, and its existence condition and construction method are obtained respectively.
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