Arc-transitive graphs of valency 8 have a semiregular automorphism

作者：Verret Gabriel^*

来源：Ars Mathematica Contemporanea, 2015, 8(1): 29-34.

• Arc-transitive graphs
• polycirculant conjecture
• semiregular automorphism

One version of the polycirculant conjecture states that every vertex-transitive graph has a non-identity semiregular automorphism that is, a non-identity automorphism whose cycles all have the same length. We give a proof of the conjecture in the arc-transitive case for graphs of valency 8, which was the smallest open valency.

• 出版日期2015