Double-toroidal and \(1\)-planar non-commuting graph of a group

Let \(G\) be a finite non-abelian group and denote by \(Z(G)\) its center. The non-commuting graph of \(G\) on a transversal of the center is the graph whose vertices are the non-central elements of a transversal of \(Z(G)\) in \(G\) and two vertices \(x\) and \(y\) are adjacent whenever \(xy\neq yx...

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Bibliographic Details
Date:2023
Main Author: Pezzott, J. C. M.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2023
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1935
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics