The first and second Zagreb index of the zero-divisor type graphs of a ring.

The zero-divisor type graph for the ring of integers modulo n has vertices Td, with d is a divisor of n. Two distinct vertices are adjacent if and only if the product of the divisors is trivial. The Zagreb indices of a graph are degree-based topological indices. The first Zagreb index is defined as the sum of the square degree of all vertices and the second Zagreb index is the sum of the product for the degree of two adjacent vertices. In this paper, the first and the second Zagreb index are computed for the zero-divisor type graphs for rings of integers modulo pa and paq, for distinct primes p and q, and natural number a. [ABSTRACT FROM AUTHOR]