Exploring Ring Structures: Multiset Dimension Analysis in Compressed Zero-Divisor Graphs
Exploring Ring Structures: Multiset Dimension Analysis in Compressed Zero-Divisor Graphs
This paper explores the concept of multiset dimensions (Mdim) of compressed zero-divisor graphs (CZDGs) associated with rings. The authors investigate the interplay between the ring-theoretic properties of a ring R and the associated compressed zero-divisor graph. An undirected graph consisting of a vertex set Z(RE)\{[0]}=RE\{[0],[1]}, where RE={[x] :x∈R} and [x]={y∈R …