Feasibility conditions on the parameters of a strongly regular graph
Autor(a) principal: | |
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Data de Publicação: | 2011 |
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/10773/6757 |
Resumo: | We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs. |
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7160 |
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Feasibility conditions on the parameters of a strongly regular graphStrongly regular graphEuclidean Jordan algebraMatrix analysisWe consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.Elsevier2012-02-22T13:00:02Z2011-01-01T00:00:00Z2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/6757eng1571-065310.1016/j.endm.2011.10.002Martins, Enide AndradeMano, Vasco MoçoVieira, Luís António de Almeidainfo: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:RCAAP2024-02-22T11:08:35Zoai:ria.ua.pt:10773/6757Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:43:37.170540Repositório 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 |
Feasibility conditions on the parameters of a strongly regular graph |
title |
Feasibility conditions on the parameters of a strongly regular graph |
spellingShingle |
Feasibility conditions on the parameters of a strongly regular graph Martins, Enide Andrade Strongly regular graph Euclidean Jordan algebra Matrix analysis |
title_short |
Feasibility conditions on the parameters of a strongly regular graph |
title_full |
Feasibility conditions on the parameters of a strongly regular graph |
title_fullStr |
Feasibility conditions on the parameters of a strongly regular graph |
title_full_unstemmed |
Feasibility conditions on the parameters of a strongly regular graph |
title_sort |
Feasibility conditions on the parameters of a strongly regular graph |
author |
Martins, Enide Andrade |
author_facet |
Martins, Enide Andrade Mano, Vasco Moço Vieira, Luís António de Almeida |
author_role |
author |
author2 |
Mano, Vasco Moço Vieira, Luís António de Almeida |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Martins, Enide Andrade Mano, Vasco Moço Vieira, Luís António de Almeida |
dc.subject.por.fl_str_mv |
Strongly regular graph Euclidean Jordan algebra Matrix analysis |
topic |
Strongly regular graph Euclidean Jordan algebra Matrix analysis |
description |
We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-01-01T00:00:00Z 2011 2012-02-22T13:00:02Z |
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/10773/6757 |
url |
http://hdl.handle.net/10773/6757 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1571-0653 10.1016/j.endm.2011.10.002 |
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 |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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 |
instacron_str |
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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1799137486250704896 |