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Mano, V.M. and Vieira, L.A. (2014) Alternating Schur Series and Necessary Conditions for the Existence of Strongly Graphs. International Journal of Mathematical Models and Methods in Applied Sciences Methods, 8, 256-261.

has been cited by the following article:

• TITLE: Binomial Hadamard Series and Inequalities over the Spectra of a Strongly Regular Graph

  AUTHORS: Luís Vieira

  KEYWORDS: Euclidean Jordan Algebras, Graph Theory, Strongly Regular Graphs

  JOURNAL NAME: Applied Mathematics, Vol.9 No.9, September 28, 2018

  ABSTRACT: Let G be a primitive strongly regular graph of order n and A is adjacency matrix. In this paper we first associate to A a real 3-dimensional Euclidean Jordan algebra with rank three spanned by In and the natural powers of A that is a subalgebra of the Euclidean Jordan algebra of symmetric matrix of order n. Next we consider a basis that is a Jordan frame of . Finally, by an algebraic asymptotic analysis of the second spectral decomposition of some Hadamard series associated to A we establish some inequalities over the spectra and over the parameters of a strongly regular graph.