Geodesic
Characterization of graphs with exactly two non-negative eigenvalues
Ars Mathematica Contemporanea, Tome 12 (2017) no. 2, pp. 271-286.

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In this paper we characterize all graphs with exactly two non-negative eigenvalues. As a consequence we obtain all graphs G such that λ3(G)  0, where λ3(G) is the third largest eigenvalue of G.
DOI : 10.26493/1855-3974.1077.5b6
Keywords: Spectrum and eigenvalues of graphs, graphs with exactly two non-negative eigenvalues 
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Mohammad Reza Oboudi. Characterization of graphs with exactly two non-negative eigenvalues. Ars Mathematica Contemporanea, Tome 12 (2017) no. 2, pp. 271-286. doi : 10.26493/1855-3974.1077.5b6. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1077.5b6/

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