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math.AC2026
The -total graph of an integral domain
Myriam AbiHabib, Ayman Badawi
Let be a finite product of integral domains and be a union of prime ideals (it is possible that is just an integral domain). Let be a positive integer. This…
math.CO2026
On the -graph of a finite Abelian Group
Ayman Badawi
Let be a finite abelian (commutative) group of order , and be an integer. We define the -graph of , denoted by , as a simple undirected graph wit…