Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph
In this paper, in the environment of Euclidean Jordan algebras, we establish some inequalities over the Krein parameters of a symmetric association scheme and of a strongly regular graph. Next, we define the modified Krein parameters of a strongly regular graph and establish some admissibility condi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/11/1997 |
| _version_ | 1797457667293184000 |
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| author | Luís Almeida Vieira |
| author_facet | Luís Almeida Vieira |
| author_sort | Luís Almeida Vieira |
| collection | DOAJ |
| description | In this paper, in the environment of Euclidean Jordan algebras, we establish some inequalities over the Krein parameters of a symmetric association scheme and of a strongly regular graph. Next, we define the modified Krein parameters of a strongly regular graph and establish some admissibility conditions over these parameters. Finally, we introduce some relations over the Krein parameters of a strongly regular graph. |
| first_indexed | 2024-03-09T16:25:21Z |
| format | Article |
| id | doaj.art-2e7bb5752eb247748711de6733c4397c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T16:25:21Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2e7bb5752eb247748711de6733c4397c2023-11-24T15:08:42ZengMDPI AGSymmetry2073-89942023-10-011511199710.3390/sym15111997Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular GraphLuís Almeida Vieira0Faculty of Engineering, University of Porto, 4200-465 Porto, PortugalIn this paper, in the environment of Euclidean Jordan algebras, we establish some inequalities over the Krein parameters of a symmetric association scheme and of a strongly regular graph. Next, we define the modified Krein parameters of a strongly regular graph and establish some admissibility conditions over these parameters. Finally, we introduce some relations over the Krein parameters of a strongly regular graph.https://www.mdpi.com/2073-8994/15/11/1997Euclidean Jordan algebrasgraph theorystrongly regular graphs |
| spellingShingle | Luís Almeida Vieira Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph Symmetry Euclidean Jordan algebras graph theory strongly regular graphs |
| title | Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph |
| title_full | Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph |
| title_fullStr | Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph |
| title_full_unstemmed | Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph |
| title_short | Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph |
| title_sort | euclidean jordan algebras symmetric association schemes strongly regular graphs and modified krein parameters of a strongly regular graph |
| topic | Euclidean Jordan algebras graph theory strongly regular graphs |
| url | https://www.mdpi.com/2073-8994/15/11/1997 |
| work_keys_str_mv | AT luisalmeidavieira euclideanjordanalgebrassymmetricassociationschemesstronglyregulargraphsandmodifiedkreinparametersofastronglyregulargraph |