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

Luís Almeida Vieira | Zendy

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

Author(s) -

Luís Almeida Vieira

Publication year - 2019

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/1334/1/012020

Subject(s) - mathematics , logarithm , adjacency matrix , combinatorics , graph , euclidean geometry , regular graph , hadamard transform , strongly regular graph , distance regular graph , series (stratigraphy) , algebra over a field , discrete mathematics , pure mathematics , voltage graph , line graph , graph power , mathematical analysis , paleontology , geometry , biology

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.

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