Universal graph

In mathematics, a universal graph is an infinite graph that contains every finite (or at-most-countable) graph as an induced subgraph. A universal graph of this type was first constructed by R. Rado and is now called the Rado graph or random graph. More recent work has focused on universal graphs for a graph family $F$ : that is, an infinite graph belonging to F that contains all finite graphs in $F$ . For instance, the Henson graphs are universal in this sense for the $i$ -clique-free graphs.

单词	Universal graph
释义	Universal graph 英语百科 Universal graph In mathematics, a universal graph is an infinite graph that contains every finite (or at-most-countable) graph as an induced subgraph. A universal graph of this type was first constructed by R. Rado and is now called the Rado graph or random graph. More recent work has focused on universal graphs for a graph family $F$ : that is, an infinite graph belonging to F that contains all finite graphs in $F$ . For instance, the Henson graphs are universal in this sense for the $i$ -clique-free graphs.
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