Cayley graph
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You select a generating set of a group, and then you name every node with them, and you specify:
- each node by a product of generators
- each edge by what happens when you apply a generator to each element
Not unique: different generating sets lead to different graphs, see e.g. two possible en.wikipedia.org/w/index.php?title=Cayley_graph&oldid=1028775401#Examples for the