Degree based Topological indices of Hanoi Graph

International audienceThere are various topological indices for example distance based topological indices and degree based topological indices etc. In QSAR/QSPR study, physiochemical properties and topological indices for example atom bond connectivity index, fourth atom bond connectivity index, Randic connectivity index, sum connectivity index, and so forth are used to characterize the chemical compound. In this paper we computed the edge version of atom bond connectivity index, fourth atom bond connectivity index, Randic connectivity index, sum connectivity index, geometric-arithmetic index and fifth geometric-arithmetic index of Double-wheel graph and Hanoi graph. The results are analyzed and the general formulas are derived for the above mentioned families of graphs

Fourth ABC Index and Fifth GA Index of Certain Special Molecular Graphs

Several chemical indices have been introduced in theoretical chemistry to measure the properties of molecular structures, such as atom bond connectivity index and geometric-arithmetic index. In this paper, we present the fourth atom bond connectivity index and fifth geometric-arithmetic index of fan molecular graph, wheel molecular graph, gear fan molecular graph, gear wheel molecular graph, and their r-corona molecular graphs

Degree based topological indices of line graph of a cayley tree Γᵏn

Several topological indices and their chemical applicability have been studied in chemical graph theory. Some of the degree based topological indices, namely Zagreb index, Modified Zagreb index, Randić index, Atom-bond connectivity index, the fourth version of atom-bond connectivity index, Geometric arithmetic index, the fifth version of geometric arithmetic index, Sum connectivity index have been obtained for Cayley tree Γᵏn for k = 2 . In this paper, we have computed these topological indices for the line graph of a Cayley tree L(Γᵏn).Publisher's Versio

Computation of Topological Indices of Dutch Windmill Graph

Abstract In this paper, we compute Atom-bond connectivity index, Fourth atom-bond connectivity index, Sum connectivity index, Randic connectivity index, Geometric-arithmetic connectivity index and Fifth geometric-arithmetic connectivity index of Dutch windmill graph

Atom-bond-connectivity index of certain graphs

The ABC index is one of the most applicable topological graph indices and several properties of it has been studied already due to its extensive chemical applications. Several variants of it have also been defined and used for several reasons. In this paper, we calculate the atom-bond connectivity index of some derived graphs such as double graphs, subdivision graphs and complements of some standard graphs.Publisher's Versio