Admissibility conditions and asymptotic behavior of strongly regular graphs

Authors:
Vasco Moço Mano;Luís Anatónio De Almeida Vieira
Affiliations:
Department of Mathematics, University of Porto, Oporto, Portugal;Department of Civil Engineering, University of Porto, Oporto, Portugal
Venue:
ICACM'11 Proceedings of the 2011 international conference on Applied & computational mathematics
Year:
2011

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Matrix analysis

Matrix analysis
Linear systems in Jordan algebras and primal-dual interior-point algorithms

Journal of Computational and Applied Mathematics - Special issue: dedicated to William B. Gragg on the occasion of his 60th Birthday

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Abstract

Let G be a strongly regular graph with three distinct eigenvalues and A its adjacency matrix. We associate a three dimensional Euclidean Jordan algebra to A and establish new admissibility inequalities on the parameters and spectrum of G. Finally, we extract some asymptotic conclusions about the spectrum of G.