Distance-regular extensions of strongly regular graphs with eigenvalue 2
type: Item
instance of: scholarly article
title: Distance-regular extensions of strongly regular graphs with eigenvalue 2
zbMATH Open document ID: 1267.05296
DOI: 10.1134/S1064562412060257
published in: Doklady Mathematics
publication date: 2013-04-03T00:00:00Z
review text: Let \(\Gamma\) be a strongly regular graphs with parameters \((100,36,14,12)\), \(G = \mathrm{Aut}(\Gamma)\), \(g\) be an element of simple order \(P\) from \(G\), and \(\Omega = \mathrm{Fix}(g)\). In this paper, the structure and properties of \(\Omega\) are determined completely. Then further specific structures and properties of the graph \(\Gamma\) are given. The results are interesting and meaningful.
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05C12
zbMATH DE Number: 6149500
zbMATH Keywords: strongly regular graphs
zbMATH Keywords: distance-regular extensions
zbMATH Keywords: undirected graphs
author: Ivan Nikolaevich Belousov
author: Alexandre A. Makhnev
author: Marina Sefovna Nirova
reviewed by: Yonglin Cao
MaRDI profile type: Publication
cites work: On small symmetric strongly regular graphs
cites work: The Gewirtz graph: An exercise in the theory of graph spectra
cites work: Q4231664
cites work: Characterization of simple \(K_4\)-groups.
full work available at URL: s1064562412060257
OpenAlex ID: W2095035231
description: scientific article; zbMATH DE number 6149500