On the Zagreb indices of the zero-divisor graph of Z_n

Abstract

In this paper, we compute the first and second Zagreb indices, first and second multiplicative Zagreb indices, first and second Zagreb coindices, first and second multiplicative Zagreb coindices of the Beck's zero-divisor graph $\Gamma_0(\mathbb{Z}_n)$, where $n=p^k, pq, pqr$ and $p,q,r$ are distinct primes. These indices are important in chemical graph theory and network analysis, providing information about the structural characteristics of graph.