On generalized binomial series and strongly regular graphs

Detalhes bibliográficos
Autor(a) principal: Mano, Vasco Moço
Data de Publicação: 2013
Outros Autores: Vieira, Luís António de Almeida, Martins, Enide Andrade
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/13426
Resumo: 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 idempotents of the unique complete system of orthogonal idempotents of V associated to A, we establish feasibility conditions for the existence of strongly regular graphs.
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spelling On generalized binomial series and strongly regular graphsStrongly regular graphsEuclidean Jordan AlgebraMatrix AnalysisWe 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 idempotents of the unique complete system of orthogonal idempotents of V associated to A, we establish feasibility conditions for the existence of strongly regular graphs.Universidad Católica del Norte2015-02-19T11:35:19Z2013-12-01T00:00:00Z2013-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/13426eng0716-0917Mano, Vasco MoçoVieira, Luís António de AlmeidaMartins, Enide Andradeinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:24:25Zoai:ria.ua.pt:10773/13426Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:49:17.481330Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On generalized binomial series and strongly regular graphs
title On generalized binomial series and strongly regular graphs
spellingShingle On generalized binomial series and strongly regular graphs
Mano, Vasco Moço
Strongly regular graphs
Euclidean Jordan Algebra
Matrix Analysis
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
author Mano, Vasco Moço
author_facet Mano, Vasco Moço
Vieira, Luís António de Almeida
Martins, Enide Andrade
author_role author
author2 Vieira, Luís António de Almeida
Martins, Enide Andrade
author2_role author
author
dc.contributor.author.fl_str_mv Mano, Vasco Moço
Vieira, Luís António de Almeida
Martins, Enide Andrade
dc.subject.por.fl_str_mv Strongly regular graphs
Euclidean Jordan Algebra
Matrix Analysis
topic Strongly regular graphs
Euclidean Jordan Algebra
Matrix Analysis
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 idempotents of the unique complete system of orthogonal idempotents of V associated to A, we establish feasibility conditions for the existence of strongly regular graphs.
publishDate 2013
dc.date.none.fl_str_mv 2013-12-01T00:00:00Z
2013-12
2015-02-19T11:35:19Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/13426
url http://hdl.handle.net/10773/13426
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0716-0917
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Universidad Católica del Norte
publisher.none.fl_str_mv Universidad Católica del Norte
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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