Dissertação apresentada para obtenção do grau de Doutor em Matemática, no Departamento de Matemática da Universidade de Aveiro, sob a orientação do Prof. Doutor Domingos Moreira Cardoso
We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.
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