Luis Vieira, "Euclidean Jordan Algebras and Some New Inequalities Over the Parameters of a Strongly Regular Graph," WSEAS Transactions on Mathematics, vol. 21, pp. 659-665, 2022, DOI:10.37394/23206.2022.21.77
Luis Vieira. Euclidean Jordan Algebras and Some New Inequalities Over the Parameters of a Strongly Regular Graph.
WSEAS Transactions on Mathematics. 2022;21:659-665. 10.37394/23206.2022.21.77
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Euclidean Jordan Algebras and Some New Inequalities Over the Parameters of a Strongly Regular Graph
Author:
Abstract: Let’s consider a primitive strongly regular graph G and it’s adjacency matrix A. Next we consider the Euclidean subalgebra A of the Euclidean Jordan algebra of real symmetric matrices of order n, with the Jordan product and with the inner product of two matrices as being the usual trace of two matrices. Finally, we make a spectral analysis of an Hadamard series of an element of A to establish some new conditions over the spectrum and the parameters of the primitive strongly regular graph G.
Pages: 659-665 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #77 DOI: 10.37394/23206.2022.21.77
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