Characterization of $A_{16}$ by a noncommuting graph

• Date: 2010
• Main Authors: Darafsheh, M. R., Davoudi, Monfared M., Дарафшех, М. Р., Давуді, Монфаред М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2969
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $G$ be a finite non-Abelian group. We define a graph $Γ_G$ ; called the noncommuting graph of $G$; with a vertex set $G − Z(G)$ such that two vertices $x$ and $y$ are adjacent if and only if $xy ≠ yx$. Abdollahi, Akbari, and Maimani put forward the following conjecture (the AAM conjecture): If $...