Using a simple but rather general method of constructing Cayley graphs with trivial vertex stabilizers, we give an example of an infinite locally finite Cayley graph (and, hence, an example of an infinite connected locally finite vertex-symmetric unimodular graph) which is isolated in the space of connected locally finite vertex-symmetric graphs. We also give examples of Cayley graphs which are not isolated in this space but are isolated from the set of connected vertex-symmetric finite graphs.

中文翻译：

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顶点对称图的极限及其自同构

使用简单但通用的方法构造带有平凡的顶点稳定器的Cayley图，我们给出了一个无限局部有限Cayley图的示例（因此，给出了一个无限连接局部有限顶点对称单模图的示例），该示例在连接的局部有限顶点对称图的空间。我们还给出了Cayley图的示例，这些图在该空间中不是孤立的，而是与连接的顶点对称有限图的集合隔离的。