On generalized binomial series and strongly regular graphs
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
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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7160 |
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 |
format |
article |
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 |
dc.format.none.fl_str_mv |
application/pdf |
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 instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799137543677018112 |