Imprimitive symmetric graphs, 3-arc graphs and 1-designs
type: Item
instance of: scholarly article
title: Imprimitive symmetric graphs, 3-arc graphs and 1-designs
zbMATH Open document ID: 0998.05032
DOI: 10.1016/S0012-365X(01)00105-4
author: Sanming Zhou
published in: Discrete Mathematics
publication date: 2002-05-21T00:00:00Z
review text: The author investigated symmetric graphs admitting an imprimitive automorphism group, under the framework of \textit{A. Gardiner} and \textit{C. E. Praeger} for imprimitive symmetric graphs established in [Proc. Lond. Math. Soc., III. Ser. 71, 524-546 (1995; Zbl 0837.05068)]. The main result of this paper is a proof that one class of symmetric graphs obtained by \textit{C. H. Li}, \textit{C. E. Praeger} and \textit{S. Zhou} [Math. Proc. Camb. Philos. Soc. 129, 19-34 (2000; Zbl 0958.05064)] may be described as a class of certain arc-graphs of their quotient graphs.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1743048
zbMATH Keywords: design
zbMATH Keywords: symmetric graphs
zbMATH Keywords: automorphism group
zbMATH Keywords: arc-graphs
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00105-4
OpenAlex ID: W2095382245
description: scientific article; zbMATH DE number 1743048