On generalized binomial series and strongly regular graphs

We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to its adjacency matrix A. Then, by considering binomial series of Hadamard powers of the idem-potents of the unique complete system of orthogonal idempotents of V associated to A, we establish fe...

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Autores principales:	Moço Mano,Vasco, de Almeida Vieira,Luis Antonio, Andrade Martins,Enide
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2013
Materias:	Strongly regular graph Euclidean Jordan algebra Matrix analysis
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400007
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spelling	oai:scielo:S0716-091720130004000072014-09-09On generalized binomial series and strongly regular graphsMoço Mano,Vascode Almeida Vieira,Luis AntonioAndrade Martins,Enide Strongly regular graph Euclidean Jordan algebra Matrix analysis We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to its adjacency matrix A. Then, by considering binomial series of Hadamard powers of the idem-potents of the unique complete system of orthogonal idempotents of V associated to A, we establish feasibility conditions for the existence of strongly regular graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.4 20132013-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400007en10.4067/S0716-09172013000400007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Strongly regular graph Euclidean Jordan algebra Matrix analysis
spellingShingle	Strongly regular graph Euclidean Jordan algebra Matrix analysis Moço Mano,Vasco de Almeida Vieira,Luis Antonio Andrade Martins,Enide On generalized binomial series and strongly regular graphs
description	We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to its adjacency matrix A. Then, by considering binomial series of Hadamard powers of the idem-potents of the unique complete system of orthogonal idempotents of V associated to A, we establish feasibility conditions for the existence of strongly regular graphs.
author	Moço Mano,Vasco de Almeida Vieira,Luis Antonio Andrade Martins,Enide
author_facet	Moço Mano,Vasco de Almeida Vieira,Luis Antonio Andrade Martins,Enide
author_sort	Moço Mano,Vasco
title	On generalized binomial series and strongly regular graphs
title_short	On generalized binomial series and strongly regular graphs
title_full	On generalized binomial series and strongly regular graphs
title_fullStr	On generalized binomial series and strongly regular graphs
title_full_unstemmed	On generalized binomial series and strongly regular graphs
title_sort	on generalized binomial series and strongly regular graphs
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400007
work_keys_str_mv	AT mocomanovasco ongeneralizedbinomialseriesandstronglyregulargraphs AT dealmeidavieiraluisantonio ongeneralizedbinomialseriesandstronglyregulargraphs AT andrademartinsenide ongeneralizedbinomialseriesandstronglyregulargraphs
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On generalized binomial series and strongly regular graphs

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