Arc-transitive digraphs of given out-valency and with blocks of given size

Luke Morgan, Primož Potočnik, Gabriel Verret

Research output: Contribution to journalArticle

Abstract

Given integers k and m, we construct a G-arc-transitive graph of valency k and an L-arc-transitive oriented digraph of out-valency k such that G and L both admit blocks of imprimitivity of size m.

Original languageEnglish
Pages (from-to)118-125
Number of pages8
JournalJournal of Combinatorial Theory. Series B
Volume137
DOIs
Publication statusPublished - 1 Jul 2019

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Arc-transitive Graph
Digraph
Arc of a curve
Integer

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Morgan, Luke ; Potočnik, Primož ; Verret, Gabriel. / Arc-transitive digraphs of given out-valency and with blocks of given size. In: Journal of Combinatorial Theory. Series B. 2019 ; Vol. 137. pp. 118-125.
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Arc-transitive digraphs of given out-valency and with blocks of given size. / Morgan, Luke; Potočnik, Primož; Verret, Gabriel.

In: Journal of Combinatorial Theory. Series B, Vol. 137, 01.07.2019, p. 118-125.

Research output: Contribution to journalArticle

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AU - Morgan, Luke

AU - Potočnik, Primož

AU - Verret, Gabriel

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KW - Arc-transitive digraphs

KW - Cayley digraphs

KW - Imprimitive digraphs

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