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

(2) University of Ljubljana; (3) Montanuniversit\"at Leoben; Austria); Iceland; Ljubljana; Norbert Seifter (3) ((1) University of Iceland; Primo\v{z} Poto\v{c}nik (2); Reykjav\'ik; R\"ognvaldur G. M\"oller (1); Slovenia

arxiv: 1810.09954 · v1 · pith:L3ELUOI3new · submitted 2018-10-23 · 🧮 math.CO

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

R\"ognvaldur G. M\"oller (1) , Primo\v{z} Poto\v{c}nik (2) , Norbert Seifter (3) ((1) University of Iceland , Reykjav\'ik , Iceland , (2) University of Ljubljana , Ljubljana , Slovenia

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(3) Montanuniversit\"at Leoben Austria)

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keywords examplesarc-transitivedigraphsinfinitefinitemethodsharplyarc-transitive-digraphs

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

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