Tuesday, 21 June 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 20-847
Full Name: Vasco Mano
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: Rua António Fragoso, 386 Custóias-Matosinhos
Country: PORTUGAL
Tel: 969026849
Tel prefix: +351
Fax: +351225081921
E-mail address: vascomocomano@gmail.com
Other E-mails: manosound@hotmail.com
Title of the Paper: Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs
Authors as they appear in the Paper: Vasco Mano, Luís Vieira
Email addresses of all the authors: vascomocomano@gmail.com,lvieira@fe.up.pt
Number of paper pages: 8
Abstract: 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.
Keywords: Combinatorial mathematics, Graph theory, Linear algebra, Symmetric matrices, Linear matrix inequalities
EXTENSION of the file: .pdf
Special (Invited) Session: Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs
Organizer of the Session: 510-155
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