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Sharply $k$-arc-transitive-digraphs: finite and infinite examples

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 نشر من قبل R\\\"ognvaldur G. M\\\"oller
 تاريخ النشر 2018
  مجال البحث
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A general method for constructing sharply $k$-arc-transitive digraphs, i.e. digraphs that are $k$-arc-transitive but not $(k+1)$-arc-transitive, is presented. Using our method it is possible to construct both finite and infinite examples. The infinite examples can have one, two or infinitely many ends. Among the one-ended examples there are also digraphs that have polynomial growth.

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