Euclidean Jordan Algebras, strongly regular graphs and Cauchy Schwarz inequalities

• Type: Article in International Scientific Journal
• Date: 2019-05-30

Authors

Luís António de Almeida Vieira (Author) FEUP

Journal

Title: Applied Mathematics and Information Sciences

Vol. 13 No. 3

Pages: 437-444

ISSN: 1935-0090

Publisher: Natural Sciences Publishing

Indexing

Scopus - 2 Citations

Crossref

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

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

No. of pages: 8