Hosoya polynomial, wiener index, coloring and planar of annihilator graph of Zn

الملخص EN

Let R be a commutative ring with identity.

We consider Γ_B (R) an annihilator graph of the commutative ring R.

In this paper, we find Hosoya polynomial, Wiener index, Coloring, and Planar annihilator graph of Z_n denote Γ_B (Z_n ), with n=p^m or n=p^m q, where p, q are distinct prime numbers and m is an integer with m≥1.