Geodesic
More on Signed Graphs with at Most Three Eigenvalues
Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 4, pp. 1313-1331

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We consider signed graphs with just 2 or 3 distinct eigenvalues, in particular (i) those with at least one simple eigenvalue, and (ii) those with vertex-deleted subgraphs which themselves have at most 3 distinct eigenvalues. We also construct new examples using weighing matrices and symmetric 3-class association schemes.
Keywords: adjacency matrix, simple eigenvalue, strongly regular signed graph, vertex-deleted subgraph, weighing matrix, association scheme 
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Ramezani, Farzaneh; Rowlinson, Peter; Stanić, Zoran. More on Signed Graphs with at Most Three Eigenvalues. Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 4, pp. 1313-1331. http://geodesic.mathdoc.fr/item/DMGT_2022_42_4_a16/