论文标题

Petersen图的自动形态组是同构为$ S_5 $

The Automorphism Group of the Petersen Graph is Isomorphic to $S_5$

论文作者

Wood, Japheth

论文摘要

Petersen图的自动形态组被证明是5个元素上对称组的同构。该图像代表彼得森图,带有$ \ {1、2、3、4、5 \} $的十个3元素子集作为顶点。当两个顶点恰好是一个共同的元素时。

The automorphism group of the Petersen Graph is shown to be isomorphic to the symmetric group on 5 elements. The image represents the Petersen Graph with the ten 3-element subsets of $\{1, 2, 3, 4, 5\}$ as vertices. Two vertices are adjacent when they have precisely one element in common.

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