Publication:
Sombor Index of Zero-Divisor Graphs of Commutative Rings

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Abstract

In this paper, we investigate the Sombor index of the zero-divisor graph of DOUBLE-STRUCK CAPITAL Z (n) which is denoted by Gamma(DOUBLE-STRUCK CAPITAL Z (n) ) for n is an element of {p(alpha), pq, p (2) q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Gamma(DOUBLE-STRUCK CAPITAL Z (n) ). Finally, we give Sombor index of product of rings of integers modulo n.

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Gürsoy, A., Ülker, A., & Gürsoy, N. K. (2022). Sombor index of zero-divisor graphs of commutative rings. Analele ştiinţifice ale Universităţii" Ovidius" Constanţa. Seria Matematică, 30(2), 231-257.

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