Computation of Topological Indices of Some Special Graphs

There are several chemical indices that have been introduced in theoretical chemistry to measure the properties of molecular topology, such as distance-based topological indices, degree-based topological indices and counting-related topological indices. Among the degree-based topological indices, the atom-bond connectivity ( A B C ) index and geometric–arithmetic ( G A ) index are the most important, because of their chemical significance. Certain physicochemical properties, such as the boiling point, stability and strain energy, of chemical compounds are correlated by these topological indices. In this paper, we study the molecular topological properties of some special graphs. The indices ( A B C ) , ( A B C 4 ) , ( G A ) and ( G A 5 ) of these special graphs are computed.