Odd automorphisms in vertex-transitive graphs
نویسندگان
چکیده
منابع مشابه
Semiregular Automorphisms of Cubic Vertex Transitive Graphs
It is shown that for a connected cubic graph Γ , a vertex transitive group G ≤ AutΓ contains a large semiregular subgroup. This confirms a conjecture of Cameron and Sheehan (2001).
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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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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2016
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.1046.980