Distance regular graphs of diameter 3 and strongly regular graphs
type: Item
instance of: scholarly article
title: Distance regular graphs of diameter 3 and strongly regular graphs
zbMATH Open document ID: 0538.05024
DOI: 10.1016/0012-365X(84)90157-2
published in: Discrete Mathematics
publication date: 1984-01-01T00:00:00Z
review text: In a paper by \textit{N. L. Biggs} [Ann. Discrete Math. 15, 69-80 (1982; Zbl 0506.05057)], two parameter sets for distance regular graphs that are antipodal covers of a complete graph were mentioned for which the existence of a corresponding graph was unknown. In this paper both cases are settled by proving that one does not exist, while there are exactly two non-isomorphic solutions to the other. Also noted are some relations with strongly regular graphs and generalized quadrangles.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 3855133
zbMATH Keywords: association scheme
zbMATH Keywords: strongly regular graphs
zbMATH Keywords: distance regular graphs
zbMATH Keywords: generalized quadrangles
author: Andries E. Brouwer
MaRDI profile type: Publication
cites work: Distance-Regular Graphs with Diameter Three
cites work: A generalization of Moore graphs of diameter two
cites work: Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices
cites work: Ovoids and fans in the generalized quadrangle Q(4,2)
cites work: Q3918131
full work available at URL: 0012-365x(84)90157-2
OpenAlex ID: W2009347102
description: scientific article; zbMATH DE number 3855133