A dendrimer is an artificially manufactured or synthesized molecule built up from the branched units called monomers. Dendrimers are among the most intricate chemical and fascinating structures and hyper-stretched macromolecules, with a correctly custom fitted engineering. Dendrimers have increased a wide scope of use in supra-molecular chemistry, especially in host-guest reactions and the self-assembly process. Their applications in biology, chemistry, science and nano-science are boundless. Quantitative structure-property and structure-activity relationships of the dendrimer compounds necessitate expressions for the molecular topological features of these compounds. Topological descriptors are the significant numerical quantities in the fields of chemical graph theory. Ev-degree and ve-degree based topological indices are two novel degrees based indices as of late defined in graph theory. Ev-degree and ve-degree based topological indices have been defined as corresponding to their relating partners. In this paper, we have computed topological indices based on ev-degree and ve-degree for the two families of Polycyclic Aromatic Nanostars Dendrimers compounds.