Strongly regular graphs with parameters \((4m^{4},2m^{4}+m^{2},m^{4}+m^{2},m^{4}+m^{2})\) exist for all \(m>1\)
type: Item
instance of: scholarly article
title: Strongly regular graphs with parameters \((4m^{4},2m^{4}+m^{2},m^{4}+m^{2},m^{4}+m^{2})\) exist for all \(m>1\)
zbMATH Open document ID: 1225.05252
author: Willem H. Haemers
author: Qing Xiang
published in: European Journal of Combinatorics
publication date: 2010-09-10T00:00:00Z
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 5782181
zbMATH Keywords: Hadamard difference sets
zbMATH Keywords: Menon difference sets
zbMATH Keywords: regular graphical Hadamard matrices
zbMATH Keywords: max energy graphs
MaRDI profile type: Publication
full work available at URL: j.ejc.2009.07.009
OpenAlex ID: W2034919577
cites work: On the existence of abelian Hadamard difference sets and a new family of difference sets
cites work: A unifying construction for difference sets
cites work: Linear codes and the existence of a reversible Hadamard difference set in \(\mathbb{Z}_ 2\times \mathbb{Z}_ 2\times \mathbb{Z}_ 5^ 4\)
cites work: Strongly Regular Graphs Derived from Combinatorial Designs
cites work: Q2724749
cites work: Strongly regular graphs with maximal energy
cites work: Q5468889
cites work: Maximal energy graphs
cites work: Symmetric Bush-type Hadamard matrices of order $4m^4$ exist for all odd $m$
cites work: A special class of Williamson matrices and difference sets
cites work: Constructions of Hadamard difference sets
cites work: Some infinite classes of special Williamson matrices and difference sets
DOI: 10.1016/J.EJC.2009.07.009
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description: scientific article; zbMATH DE number 5782181