A Few Examples and Counterexamples in Spectral Graph Theory
Discussiones Mathematicae. Graph Theory, Tome 40 (2020) no. 2, pp. 637-662

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We present a small collection of examples and counterexamples for selected problems, mostly in spectral graph theory, that have occupied our minds over a number of years without being completely resolved.
Keywords: communicability distance, spectral radius, integral graph, second Zagreb index, Wiener index, estrada index, almost cospectral graphs, NEPS of graphs
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Stevanović, Dragan; Milosavljević, Nikola; Vukičević, Damir. A Few Examples and Counterexamples in Spectral Graph Theory. Discussiones Mathematicae. Graph Theory, Tome 40 (2020) no. 2, pp. 637-662. http://geodesic.mathdoc.fr/item/DMGT_2020_40_2_a17/