Euclidean Jordan algebras and some conditions over the spectra of a strongly regular graph
Keyword(s):
Let G be a primitive strongly regular graph G such that the regularity is less than half of the order of G and A its matrix of adjacency, and let 𝒜 be the real Euclidean Jordan algebra of real symmetric matrices of order n spanned by the identity matrix of order n and the natural powers of A with the usual Jordan product of two symmetric matrices of order n and with the inner product of two matrices being the trace of their Jordan product. Next the spectra of two Hadamard series of 𝒜 associated to A2 is analysed to establish some conditions over the spectra and over the parameters of G.
2020 ◽
Vol 1564
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pp. 012032
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2013 ◽
Vol 5
(1)
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pp. 13
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1977 ◽
Vol 29
(4)
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pp. 845-847
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2019 ◽
Vol 1334
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pp. 012020