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

Authors

  • Ravindra Mahale JET's Zulal Bhilajirao Patil College Dhule https://orcid.org/0000-0003-2955-1888
  • Kishor Pawar Department of Mathematics, Kavayitri Bahinabai Chaudhari North Maharashtra University, 302 Jalgaon, Maharashtra 425001, India.

Keywords:

Zero-divisor graph, Zagreb indices, vertex degree, commutative ring

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.

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Published

2026-03-16

How to Cite

Mahale, R., & Pawar, K. (2026). On the Zagreb indices of the zero-divisor graph of Z_n. International Journal of Maps in Mathematics, 9(1), 67–80. Retrieved from https://simadp.com/journalmim/article/view/318