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This article is cited in 4 scientific papers (total in 4 papers)
RESEARCH ARTICLE
Common neighborhood spectrum of commuting graphs of finite groups
W. N. Fasfousa, R. Sharafdinib, R. K. Natha a Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India
b Department of Mathematics, Faculty of Science, Persian Gulf University, Bushehr 75169-13817, Iran
Abstract:
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.
Received: 09.02.2019
Citation:
W. N. Fasfous, R. Sharafdini, R. K. Nath, “Common neighborhood spectrum of commuting graphs of finite groups”, Algebra Discrete Math., 32:1 (2021), 33–48
Linking options:
https://www.mathnet.ru/eng/adm805 https://www.mathnet.ru/eng/adm/v32/i1/p33
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