Abstract
The structure of any finite molecular graph which represent numerical quantities are known as topological indices. The importance of topological indices is generally linked with QSAR/QSPR. In this paper, we compute general Zagreb (M-alpha) index, general Randic connectivity (R-alpha) index, general sum-connectivity (chi(alpha)) index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index, ABC(4), GA(5), multiple Zagreb indices and Zagreb polynomials indices of the benzene ring embedded in P-type-surface in 2D network.