Infinite arc-transitive and highly-arc-transitive digraphs

Rögnvaldur G. Möller, Primož Potočnik, Norbert Seifter

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)78-89
Number of pages12
JournalEuropean Journal of Combinatorics
Publication statusPublished - Mar 2019

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© 2018 Elsevier Ltd


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