On r-noncommuting graph of finite rings

Rajat Kanti Nath, Monalisha Sharma, Parama Dutta +1

Let $R$ be a finite ring and $r\in R$. The $r$-noncommuting graph of $R$, denoted by ${\Gamma }_R^r$, is a simple undirected graph whose vertex set is $R$ and two vertices $x$ and $y$ are…