Ayman Badawi

collaborators

3 papers

math.AC2026

The $n$ -total graph of an integral domain

Myriam AbiHabib, Ayman Badawi

Let $R$ be a finite product of integral domains and $D$ be a union of prime ideals (it is possible that $R$ is just an integral domain). Let $n \geq 1$ be a positive integer. This…

math.CO2026

On the $m$ -graph of a finite Abelian Group

Ayman Badawi

Let $H$ be a finite abelian (commutative) group of order $n \geq 2$ , and $m > 1$ be an integer. We define the $m$ -graph of $H$ , denoted by $m - G (H)$ , as a simple undirected graph wit…

math.AC2025

The n-total graph of a commutative ring

Djamila AitElhadi, Ayman Badawi

Let $R$ be a commutative ring with $1 \neq = 0$ , $Z (R)$ be the set of all zero-divisors of $R$ , and $n \geq 1$ . This paper introduces the $n$ -total graph of a commutative ring $R$ .…

The n-total graph of an integral domain

On the m-graph of a finite Abelian Group

The n-total graph of a commutative ring

The $n$ -total graph of an integral domain

On the $m$ -graph of a finite Abelian Group