Abstract
Let G be a Strongly Regular Graph of order n and A its matrix of adjacency. By the analysis of the spectra of some elements of the Euclidean Jordan Algebra 𝒜 spanned by the powers of A and by the identity In we establish some admissibility conditions on the parameters of the strongly regular graph G using an asymptotic approach. Finally, some admissibility conditions are established on the spectra of G and on the parameters of G using the inequality of Cauchy Schwarz on the vector space 𝒜.
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