On zero-divisor graph of the ring Fp + uFp + u²Fp.

In this article, we discussed the zero-divisor graph of a commutative ring with identity Fp + uFp + u²Fp where u³ = 0 and p is an odd prime. We find the clique number, chromatic number, vertex connectivity, edge connectivity, diameter and girth of a zero-divisor graph associated with the ring. We find some of topological indices and the main parameters of the code derived from the incidence matrix of the zero-divisor graph Γ(R). Also, we find the eigenvalues, energy and spectral radius of both adjacency and Laplacian matrices of Γ(R). [ABSTRACT FROM AUTHOR]