论文标题

四种颜色定理的非结构证明

A non-constructive proof of the Four Colour Theorem

论文作者

Jackson, D. M., Richmond, L. B.

论文摘要

该方法是通过对3和4连接三角形的生成函数的奇异性分析,渐近分析,$ {{} _ 3F_2} $超几何序列的属性,以及Tutte在平面图上的枚举工作。

The approach is through a singularity analysis of generating functions for 3- and 4-connected triangulations, asymptotic analysis, properties of the ${{}_3F_2}$ hypergeometric series, and Tutte's enumerative work on planar maps and chromatic polynomials.

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