Common neighborhood spectrum of commuting graphs of finite groups

• Дата: 2021
• Автори: Fasfous, W. N. T., Sharafdini, R., Nath, R. K.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2021
• Теми: commuting graph; spectrum; integral graph; finite group; 05C50; 15A18; 05C25; 20D99
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1332
• Назва журналу: Algebra and Discrete Mathematics

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 neig...