Geodesic
Compositions of Cospectrality Graphs of Smith Graphs
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 271

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Graphs whose spectrum belongs to the interval $[-2,2]$ are called Smith graphs. Vertices of the cospectrality graph $C(H)$ of a Smith graph $H$ are all graphs cospectral with $H$ with two vertices adjacent if there exists a certain transformation transforming one to another. We study how the cospectrality graph of the union of two Smith graphs can be composed starting from cospectrality graphs of starting graphs.
Classification : 05C50
Keywords: spectral graph theory, Smith graphs, cospectrality graphs 
Dragoš M. Cvetković; Marija Jerotijević. Compositions of Cospectrality Graphs of Smith Graphs. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 2, p. 271 . http://geodesic.mathdoc.fr/item/KJM_2023_47_2_a7/
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     title = {Compositions of {Cospectrality} {Graphs} of {Smith} {Graphs}},
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