English

Arc-transitive graphs of valency 8 have a semiregular automorphism

Combinatorics 2013-03-20 v1

Abstract

One version of the polycirculant conjecture states that every vertex-transitive graph has a semiregular automorphism. We give a proof of the conjecture in the arc-transitive case for graphs of valency 8, which was the smallest open case.

Keywords

Cite

@article{arxiv.1303.4501,
  title  = {Arc-transitive graphs of valency 8 have a semiregular automorphism},
  author = {Gabriel Verret},
  journal= {arXiv preprint arXiv:1303.4501},
  year   = {2013}
}

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5 pages