Geodesic
Common neighborhood spectrum of commuting graphs of finite groups
Algebra and discrete mathematics, Tome 32 (2021) no. 1, pp. 33-48

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The commuting graph of a finite non-abelian group $G$ with center $Z(G)$, denoted by $\Gamma_c(G)$, is a simple undirected graph whose vertex set is $G\setminus Z(G)$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy = yx$. In this paper, we compute the common neighborhood spectrum of commuting graphs of several classes of finite non-abelian groups and conclude that these graphs are CN-integral.
Keywords: commuting graph, spectrum, integral graph, finite group. 
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     title = {Common neighborhood spectrum of commuting graphs of finite groups},
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W. N. Fasfous; R. Sharafdini; R. K. Nath. Common neighborhood spectrum of commuting graphs of finite groups. Algebra and discrete mathematics, Tome 32 (2021) no. 1, pp. 33-48. http://geodesic.mathdoc.fr/item/ADM_2021_32_1_a2/