Abstract

Let G be a strongly regular graph whose adjacency matrix is A. We associate a real finite dimensional Euclidean Jordan algebra 𝒜 of rank three to the strongly regular graph G, endowed with the Jordan product of matrices and with the inner product as being the usual trace of matrices, spanned by I and the natural powers of A. Next we consider the unique Jordan frame ℒ associated to 𝒜 Finally, we define the generalized Krein parameters of G and establish some theorems on strongly regular graphs.

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