Infinite highly arc transitive digraphs and universal covering digraphs
type: Item
instance of: scholarly article
title: Infinite highly arc transitive digraphs and universal covering digraphs
zbMATH Open document ID: 0793.05065
DOI: 10.1007/BF01303511
author: Peter J. Cameron
author: Cheryl E. Praeger
author: Nicholas Wormald
published in: Combinatorica
publication date: 1994-03-24T00:00:00Z
review text: A digraph \(D\) is said to be \(s\)-arc transitive if its automorphism group is transitive on the set of \(s\)-arcs, and \(D\) is said to be highly arc transitive if it is \(s\)-arc transitive for all finite \(s\geq 0\). The authors give a few methods for obtaining new highly arc transitive digraphs from a given one. They attempt to characterize highly arc transitive digraphs in several ways, and they also study certain properties of these digraphs.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C20
zbMATH DE Number: 522710
zbMATH Keywords: digraph
zbMATH Keywords: automorphism group
zbMATH Keywords: highly arc transitive
Wikidata QID: Q56988322
reviewed by: Ferdinand Gliviak
MaRDI profile type: Publication
cites work: Permutation Groups with Multiply Transitive Suborbits
cites work: Finite Permutation Groups and Finite Simple Groups
cites work: Q5572939
cites work: Q4693151
cites work: Highly arc transitive digraphs
cites work: Q4017201
cites work: Q5522742
full work available at URL: https://doi.org/10.1007/bf01303511
OpenAlex ID: W2042285959
description: scientific article; zbMATH DE number 522710