In [E. V. Zhuravlev and A. S. Monastyreva, Compressed zero-divisor graphs of finite associative rings, Siberian Math. J.61(1) (2020) 76–84.], we found the graphs containing at most three vertices that can be realized as the compressed zero-divisor graphs of some finite associative ring. This paper deals with associative finite rings whose compressed zero-divisor graphs have four vertices. Namely, we find all graphs containing four vertices that can be realized as the compressed zero-divisor graphs of some finite associative ring.

中文翻译：

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4阶压缩零除数图

在 [EV Zhuravlev 和 AS Monastyreva，有限关联环的压缩零除数图，西伯利亚数学。J. 61 (1) (2020) 76-84.]，我们发现最多包含三个顶点的图可以实现为某些有限关联环的压缩零因数图。本文处理压缩零除数图有四个顶点的关联有限环。即，我们发现所有包含四个顶点的图都可以实现为某个有限关联环的压缩零除数图。