Structural characterization of Cayley graphs

نویسنده

  • Didier Caucal
چکیده

We show that the directed labelled Cayley graphs coincide with the rooted deterministic vertextransitive simple graphs. The Cayley graphs are also the strongly connected deterministic simple graphs of which all vertices have the same cycle language, or just the same elementary cycle language. Under the assumption of the axiom of choice, we characterize the Cayley graphs for all group subsets as the deterministic, co-deterministic, vertex-transitive simple graphs.

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عنوان ژورنال:
  • CoRR

دوره abs/1609.08272  شماره 

صفحات  -

تاریخ انتشار 2016