Euclidean Jordan Algebras, strongly regular graphs and Cauchy Schwarz inequalities

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019-05-30

Autores

Luís António de Almeida Vieira (Autor) FEUP

Revista

Título: Applied Mathematics and Information Sciences

Vol. 13 Nº 3

Páginas: 437-444

ISSN: 1935-0090

Editora: Natural Sciences Publishing

Indexação

Scopus - 4 Citações

Crossref

Classificação Científica

CORDIS: Ciências Físicas > Matemática

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00S-0JG

DOI: 10.18576/amis/130316

Abstract (EN): Let G be a primitive strongly regular Graph of order n and A its matrix of adjacency and let A be the Euclidean Jordan subalgebra of the Euclidean Jordan algebra of real symmetric matrices of order n equipped with the Jordan product of matrices and with the inner product of two matrices being the usual trace of them, spanned by the identity of order n and the natural powers of A. In this paper we establish some admissibility asymptotic conditions on the parameters and on the spectra of G, and next some admissibility conditions are established recurring to the inequality of Cauchy-Schwarz and recurring to the Frobenius norm. © 2019 NSP.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Notas: http://www.naturalspublishing.com/files/published/n492yn0x49s2p2.pdf

Nº de páginas: 8