Common neighborhood spectrum of commuting graphs of finite groups

التفاصيل البيبلوغرافية
العنوان: Common neighborhood spectrum of commuting graphs of finite groups
المؤلفون: Walaa Nabil Taha Fasfous, Reza Sharafdini, Rajat Kanti Nath
بيانات النشر: Інститут прикладної математики і механіки НАН України, 2021.
سنة النشر: 2021
مصطلحات موضوعية: Combinatorics, Finite group, Algebra and Number Theory, Simple (abstract algebra), Group (mathematics), Center (category theory), Discrete Mathematics and Combinatorics, Integral graph, Spectrum (topology), Graph, Vertex (geometry), Mathematics
الوصف: 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.
اللغة: English
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::675b7a5c92c4b9a2d3ce47ecea414f72
http://dspace.nbuv.gov.ua/handle/123456789/188716
Rights: OPEN
رقم الانضمام: edsair.doi.dedup.....675b7a5c92c4b9a2d3ce47ecea414f72
قاعدة البيانات: OpenAIRE