Admissibility conditions and asymptotic behavior of strongly regular graphs

• Type: Article in International Scientific Journal
• Date: 2011

Authors

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

Journal

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

Vol. 5

Pages: 1027-1034

ISSN: 1998-0140

Publisher: North Atlantic University Union

Indexing

Scopus - 16 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-00F-X1Z

Abstract (EN): We consider a strongly regular graph, G, with adjacency matrix A, and associate a three dimensional Euclidean Jordan algebra to A. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of the Euclidean Jordan algebra associated to A, we establish new admissibility conditions for the existence of strongly regular graphs. Finally, we extract some asymptotic conclusions about the spectrum of G.

Language: English

Type (Professor's evaluation): Scientific