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- W4283014976 abstract "AbstractIn the following, we deal with the problem of the existence of primitive strongly regular graphs with 1 in its spectrum and such that its regularity is between certain values with respect to the order of the graph. We consider the natural correspondence between the adjacency matrix of a strongly regular graph and the Euclidean Jordan algebra, (mathcal {B}), generated by the natural powers of that matrix. Considering the spectrum of a constructed series of Hadamard powers an element of that Euclidean Jordan algebra ({mathcal B}), we establish a necessary condition for the existence of this kind of primitive strongly regular graphs.KeywordsEuclidean Jordan algebraGraph theoryStrongly regular graph" @default.
- W4283014976 created "2022-06-18" @default.
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- W4283014976 date "2022-06-18" @default.
- W4283014976 modified "2023-10-12" @default.
- W4283014976 title "Power Series and Inequalities on the Parameters of a Strongly Regular Graph" @default.
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- W4283014976 doi "https://doi.org/10.1007/978-3-031-09360-9_8" @default.
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