Alternating Hadamard Series and Some Theorems on Strongly Regular Graphs

• Tipo: Capítulo ou Parte de Livro
• Data: 2017

Autores

Luís Almeida Vieira (Autor) FEUP; Vasco Moço Mano (Autor) Outra

Livro

Título: Modeling, Dynamics, Optimization and Bioeconomics II

Páginas: 485-493

ISBN: 978-3-319-55235-4

ISBN Eletrónico: 978-3-319-55236-1

Editora: Springer

Indexação

Scopus - 0 Citações

Classificação Científica

CORDIS: Ciências Físicas > Matemática

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00N-4AF

DOI: 10.1007/978-3-319-55236-1_23

Abstract (EN): In this paper we consider a strongly regular graph, G, whose adjacency matrix A has three distinct eigenvalues, and a particular real three dimensional Euclidean Jordan subalgebra with rank three of the Euclidean algebra of real symmetric matrices of order n, with the product and the inner product being the Jordan product and the usual trace of matrices, respectively. Next, we compute the unique Jordan frame B associated to A and we consider particular alternating Hadamard series constructed from the idempotents of B. Finally, by the analysis of the spectra of the sums of these alternating Hadamard series we deduce some theorems over the parameters of a strongly regular graph. © 2017, Springer International Publishing AG.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9