Near-homogeneous tournaments and permutation groups
type: Item
instance of: scholarly article
title: Near-homogeneous tournaments and permutation groups
zbMATH Open document ID: 0757.05054
DOI: 10.1016/0012-365X(92)90046-I
author: Annie Astié-Vidal
author: Vincent Dugat
published in: Discrete Mathematics
publication date: 1992-09-27T00:00:00Z
review text: A tournament \(T_ n\) is near-homogeneous if \(n=4\lambda+1\), \(\lambda\geq 1\), and any arc belongs to \(\lambda\) or \(\lambda+1\) 3-cycles. The authors investigate vertex-symmetric tournaments with two arc orbits; among such tournaments of prime order less than 1000, they have found six new near- homogeneous tournaments of orders 29, 53, 173, 229, 293, and 733.
Mathematics Subject Classification ID: 05C20
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 65057
zbMATH Keywords: vertex-symmetric tournaments
zbMATH Keywords: near-homogeneous tournaments
zbMATH Keywords: permutation group
reviewed by: J. W. Moon
MaRDI profile type: Publication
cites work: Q4103557
cites work: Path Partitions in Directed Graphs
cites work: Q5588447
cites work: Doubly regular tournaments are equivalent to skew Hadamard matrices
cites work: Q3872493
cites work: Caracterisation Des Tournois Presqu'Homogenes
full work available at URL: 0012-365x(92)90046-i
OpenAlex ID: W2039911738
description: scientific article; zbMATH DE number 65057