### Abstract:

Let Zn be the finite commutative ring of residue
classes modulo n with identity and Γ(Zn) be its zero-divisor graph.
In this paper, we investigate some properties of nilradical graph,
denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of
Γ(Zn). In particular, we determine the Chromatic number and
Energy of N(Zn) and Ω(Zn) for a positive integer n. In addition,
we have found the conditions in which N(Zn) and Ω(Zn) graphs are
planar. We have also given MATLAB coding of our calculations.

### Description:

Chandra S. Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn / S. Chandra, O. Prakash, S. Suthar // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 181 -190