A classification of 2-arc-transitive circulant digraphs
type: Item
instance of: scholarly article
title: A classification of 2-arc-transitive circulant digraphs
zbMATH Open document ID: 0962.05023
DOI: 10.1016/S0012-365X(00)00056-X
author: Jixiang Meng
author: Jianzhong Wang
published in: Discrete Mathematics
publication date: 2000-09-14T00:00:00Z
review text: Let \(\mathbb{Z}_n\) denote the cyclic group of integers modulo \(n\), and \(S\) be a subset of \(\mathbb{Z}_n\setminus\{0\}\). A circulant digraph \(D_n(S)\) is a directed graph with vertex set \(\mathbb{Z}_n\) and the property that for all \(i,j\in\mathbb{Z}_n\) there is an arc from \(i\) to \(j\) iff \(j-i\in S\). A directed graph \(D\) is called 2-arc-transitive if and only if \(D\) is vertex transitive and \(\Aut(D)\) acts transitively on the set of 2-arcs of \(D\). The main result is a classification of all 2-arc-transitive circulant digraphs.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C20
zbMATH DE Number: 1506837
zbMATH Keywords: circulant digraph
zbMATH Keywords: 2-arc-transitive
reviewed by: Ulrike Baumann
MaRDI profile type: Publication
Wikidata QID: Q127840235
description: scientific article; zbMATH DE number 1506837