Zero Divisor Graph of a Commutative Ring

This paper investigates the structural and combinatorial properties of zero divisor graphs associated with commutative rings. Specifically, we study the domination number, total domination number, and co-total domination number of zero divisor graphs and provide a detailed analysis of their algebraic implications. We derive properties such as the radius and center of zero divisor graphs, classify specific cases where the graph forms a star graph or a complete bipartite graph, and establish domination-related parameters for various classes of commutative rings, including Z_n and Z_p×Z_q where n, p, q are integers or primes. These findings are supported with proofs and applications that extend existing research in this domain.