Abstract
The transition metal is a planar metallic organic structure, and tetra-cyano-benzene is one of the most studied networks of 3d series of transition metal. Tetra-cyano-benzene behaved as a useful object in the alloy synthesis industry due to its excellency of hardness. In spintronics, the tetra-cyano-benzene demonstrate a long-range ferromagnetic connection in the erection of magnetic, which is usually behaved as the ideal entrant. To study this novel tetra-cyano-benzene structure, we use an authentic mathematical tool known as M-polynomials of the topological index and shows some physical and chemical properties in numerical form, to understand the structure deeply we compare different legitimate M-polynomials of topological indices and concluding in the form of figurative comparisons.