一种特殊图的几个简单性质

ON THE SEVERAL NATURES OF A SPECIAL FIGURE

有一种特殊图,它是无向、无环、联接的,并且相连任意两点的最短链只有一条,不妨用符号表示图 G=(X,E),这里X表示G的顶集,E表示G的边集,本文针对这种图,讨论其简单性质,其中有两个明显的性质,不作详细论证,只把这两个性质简单提出来,因此集中讨论另外两个性质,并加以详尽而周密严谨地证明之。

A speciale figure without direction and circle but connected. There exists only one shortest pink between two connected random points and it can be expressed as G=(X, E)(X expresses G's top set and E expresses marginal set). The paper discusses it's simple nature of the figure. Two distinct natures are mentioned without careful discussion and the other two natures are mainly discussed with complete, strict and precise proof.