Alternating schur series and necessary conditions for the existence of strongly regular graphs

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Mano, VM (Author) Other; Luís Almeida Vieira (Author) FEUP

Journal

Title: International Journal of Mathematical Models and Methods in Applied Sciences

Vol. 8

Pages: 256-261

ISSN: 1998-0140

Publisher: North Atlantic University Union

Indexing

Scopus - 10 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-009-JKZ

Abstract (EN): Considering the Euclidean Jordan algebra of the real symmetric matrices endowed with the Jordan product and the inner product given by the usual trace of matrices, we construct an alternating Schur series with an element of the Jordan frame associated to the adjacency matrix of a strongly regular graph. From this series we establish necessary conditions for the existence of strongly regular graphs.

Language: English

Type (Professor's evaluation): Scientific