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Exponential Inequalities on the Parameters of a Strongly Regular Graph

Title
Exponential Inequalities on the Parameters of a Strongly Regular Graph
Type
Article in International Conference Proceedings Book
Year
2021-08-11
Authors
Luís Almeida Vieira
(Author)
FEUP
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Vasco Moço Mano
(Author)
Other
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Conference proceedings International
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Publicação em ISI Web of Science ISI Web of Science
Publicação em Scopus Scopus
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Scientific classification
CORDIS: Physical sciences > Mathematics
FOS: Natural sciences > Mathematics
Other information
Resumo (PT):
Abstract (EN): In this paper we work, in the context of Euclidean Jordan algebras, on the problem of finding admissibility inequalities for primitive strongly regular graphs. We connect each strongly regular graph to a particular Euclidean Jordan algebra A spanned by the natural powers of its adjacency matrix and by the identity matrix. By creating an exponential series with the elements of a Jordan frame of A, we are able to deduce some necessary conditions for the existence of a strongly regular graph. Keywords: Euclidean Jord
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 13
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