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arxiv: 1301.7544 · v1 · pith:IHQPIYTOnew · submitted 2013-01-31 · 🧮 math.CO

The random graph

classification 🧮 math.CO
keywords graphrandomautomorphismcountablyformgrouphighlyinfinite
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Erd\H{o}s and R\'{e}nyi showed the paradoxical result that there is a unique (and highly symmetric) countably infinite random graph. This graph, and its automorphism group, form the subject of the present survey.

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