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Infinite arc-transitive and highly-arc-transitive digraphs

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 نشر من قبل R\\\"ognvaldur G. M\\\"oller
 تاريخ النشر 2018
  مجال البحث
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A detailed description of the structure of two-ended arc-transitive digraphs is given. It is also shown that several sets of conditions, involving such concepts as Property Z, local quasi-primitivity and prime out-valency, imply that an arc-transitive digraph must be highly-arc-transitive. These are then applied to give a complete classification of two-ended highly-arc-transitive digraphs with prime in- and out-valencies.


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