Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine ...

Sierpinski graphs are a widely observed family of fractal-type relevant to topology, Hanoi Tower mathematics, computer engineering, and around. Chemical implementations graph theory establish significant properties, such as chemical activity, physicochemical thermodynamic pharmacological activities molecular graph. Specific descriptors alluded topological indices helpful predict these propertie...

eccentric connectivity index has been found to have a low degeneracy and hence a significantpotential of predicting biological activity of certain classes of chemical compounds. wepresent here explicit formulas for eccentric connectivity index of various families of graphs.we also show that the eccentric connectivity index grows at most polynomially with thenumber of vertices and determine the ...

in this paper, a new molecular-structure descriptor, the general sum–connectivity co–index  is considered, which generalizes the first zagreb co–index and the general sum–connectivity index of graph theory. we mainly explore the lower and upper bounds in termsof the order and size for this new invariant. additionally, the nordhaus–gaddum–type resultis also represented.

A molecule is formed by the combination of atoms and in the process they attain the electronic configuration of an inert gas. A chemical bond is formed as a result of attraction between the combining atoms. To explain the formation of bonds in diatomic molecules, such as H2, O2, N2, Cl2 etc., it was first suggested by G.N. Lewis that atoms of such molecules attain an inert gas electronic config...

A real-number to molecular structure mapping is a topological index. It graph invariant method for describing physico-chemical properties of structures specific substances. In that article, We examined pentacene’s chemical composition. The research on the subsequent indices reflected in our paper, we conducted an analysis several including general randic connectivity index, first zagreb sum-con...

The atom-bond connectivity (ABC) index of a graph ( , ) G V E is defined as ( ) [ ( ) ( ) 2] / [ ( ) ( )] i j i j i j v v E ABC G d v d v d v d v , where ( ) i d v denotes the degree of the vertex i v of G . This recently introduced molecular structure descriptor found interesting applications in the study of the heats of formation of alkanes. Let ( ) C and ( ) T denote the sets of connected gr...

A theoretical basis is established for relating the incidence of relatively 'high' and 'low' »ring-current« intensities (as encountered, for example, in the central rings of peropyrene (I) and perylene (II), respectively) to intuitive Valence-Bond ResonanceTheory (VB-RT) ideas about 'bond fixation'. In the present treatment, this aim is not achieved by devising a »ring-current« formalism that i...