Sombor index of zero-divisor graphs of commutative rings

In this paper, we investigate the Sombor index of the zero-divisor graph of ℤ_n which is denoted by Γ(ℤ_n) for n ∈ {p^α, pq, p²q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤ_n). Finally, we give Sombor index of product of rings of integers modulo n.