Sombor Index and Sombor Spectrum of Cozero-Divisor Graph of Zn.

Let Z (R) ′ be the set of all non-unit and non-zero elements of ring R , a commutative ring with identity 1 ≠ 0 . The cozero-divisor graph of R , denoted by the notation Γ ′ (R) , is an undirected graph with vertex set Z (R) ′ . Any two distinct vertices w and z are adjacent if and only if w ∉ z R and z ∉ w R , where q R is the ideal generated by the element q in R . In this article, we evaluate the Sombor index of the graphs Γ ′ (Z n) for different values of n. Additionally, we compute Γ ′ (Z n) , the cozero-divisor graph Sombor spectrum. [ABSTRACT FROM AUTHOR]