An infinite highly arc-transitive digraph
type: Item
instance of: scholarly article
title: An infinite highly arc-transitive digraph
zbMATH Open document ID: 0873.05050
author: David M. Evans
published in: European Journal of Combinatorics
publication date: 1997-10-26T00:00:00Z
review text: A digraph is highly arc-transitive if its automorphism group is transitive on \(s\)-arcs, for all natural numbers \(s\). In this paper, an infinite, highly arc-transitive digraph with infinite in-valency, finite out-valency, and with out-spread greater than 1, which does not have the two-way infinite path \(Z\) as a homomorphic image, is constructed. The question of whether there is an infinite, highly arc-transitive digraph with finite (and equal) in- and out-valencies, with out-spread greater than 1, and not having \(Z\) as a homomorphic image remains open.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C20
zbMATH DE Number: 1019807
zbMATH Keywords: automorphism group
zbMATH Keywords: highly arc-transitive digraph
reviewed by: Ulrike Baumann
MaRDI profile type: Publication
full work available at URL: eujc.1996.0099
OpenAlex ID: W2059742569
DOI: 10.1006/EUJC.1996.0099
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description: scientific article; zbMATH DE number 1019807