Structural characterization of Cayley graphs
نویسنده
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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ورودعنوان ژورنال:
- CoRR
دوره abs/1609.08272 شماره
صفحات -
تاریخ انتشار 2016