I cannot come up with a proof of the following statement (which is true according to wikipedia): Every Cayley graph is vertex-transitive.
Can anyone enlighten me?
Thanks!
2026-03-26 12:43:30.1774529010
Every Cayley graph is vertex transitive
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Hint For every $g$ in the group the map $v\mapsto gv$ is a graph isomorphism of the Cayley graph.