Characterization of A₁₆ by a noncommuting graph

• Published in: Український математичний журнал
• Date: 2010
• Main Authors: Davoudi Monfared, М., Darafsheh, M.R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166289
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Characterization of A₁₆ by a noncommuting graph / M. Davoudi Monfared, M.R. Darafsheh // Український математичний журнал. — 2010. — Т. 62, № 11. — С. 1443–1450. — Бібліогр.: 12 назв. — укр.

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 S is a finite n...