连续五天了，李默都窝在图书馆的小角落里撰写着四色猜想的论文。他现在才发现，用外语写一篇论文是多么的困难。

用词的专业度，引用的定理表述的规范性。他曾以为词汇是最困难的。实际上写论文时才发现，词汇不是最困难的，真正麻烦事是用外语表达的逻辑。

在查阅无数文献，绞尽脑汁之后李默终于把论文完整的写了出来。

We can convert the four color conjecture，

At the same time， we call the number of points of the largest complete graph subgraph included in Figure F as “clique number“， and note it as X. It is easy to find that a complete graph of n points requires at least n different colors because the two points are adjacent.

.........

It is obvious from the above that any part of a graph is divided and dyed to make any part with common sidelines have different colors， and can only use four colors， no more. The proposition is true.

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