Abstract
A solitary number that can be utilized to describe some property of the graph of a particle is known as a topological index for that graph. 'there are various topological indices that have discovered a few applications in hypothetical science. In QSAR/QSPR think about, physico-concoction properties and topological indices, for example, Randic', atom-bond connectivity (ABC), geometric arithmetic (CA) and their edge renditions are utilized to anticipate the bioactivity of various substance mixes. In this paper, we consider the degree based molecular topological index the edge version of atom-bond connectivity index and geometric arithmetic index for line and line graph of subdivision of benzene ring embedded in P-type surface in 2D network. The diagnostic shut formulae for the edge version of atom-bond connectivity index and geometric arithmetic index of these classes of atomic structures are given