Hadamard Logarithmic Series and Inequalities on The parameters of a Strongly Regular Graph

Let G be a primitive strongly regular graph of order n and A its adjacency matrix. In this paper, we first associate an Euclidean Jordan algebra V to G considering the real Euclidean Jordan algebra spanned by the identity of order n and the natural powers of A. Next, by the analysis of the spectra o...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1334; no. 1; pp. 12020 - 12031
Main Author Vieira, Luís A.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2019
Subjects
Matrix algebra
Parameters
Physics
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Summary:Let G be a primitive strongly regular graph of order n and A its adjacency matrix. In this paper, we first associate an Euclidean Jordan algebra V to G considering the real Euclidean Jordan algebra spanned by the identity of order n and the natural powers of A. Next, by the analysis of the spectra of an Hadamard logarithmic series of V we establish new admissibility conditions on the parameters of the strongly regular graph G.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1334/1/012020