Alternating Hadamard Series and Some Theorems on Strongly Regular Graphs

• Type: Chapter or Part of a Book
• Date: 2017

Authors

Luís Almeida Vieira (Author) FEUP; Vasco Moço Mano (Author) Other

Book

Title: Modeling, Dynamics, Optimization and Bioeconomics II

Pages: 485-493

ISBN: 978-3-319-55235-4

Electronic ISBN: 978-3-319-55236-1

Publisher: Springer

Indexing

Scopus - 0 Citations

Crossref

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9