Semiregular automorphisms of vertex-transitive cubic graphs

نویسندگان

  • Peter J. Cameron
  • John Sheehan
  • Pablo Spiga
چکیده

An old conjecture of Marušič, Jordan and Klin asserts that any finite vertextransitive graph has a non-trivial semiregular automorphism. Marušič and Scapellato proved this for cubic graphs. For these graphs, we make a stronger conjecture, to the effect that there is a semiregular automorphism of order tending to infinity with n. We prove that there is one of order greater than 2.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2006