Sombor index of zero-divisor graphs of commutative rings

Abstract

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

Keywords

• topological indices
• sombor index
• zero-divisor graph
• vertex degree
• algorithm
• primary 13a70, 05c09, 05c07
• secondary 68r10, 05c25