A general description of the cut method is presented and an overview of its applications in
chemical graph theory is given. Applications include the Wiener index, the Szeged index …

The atom-bond connectivity index is a recently introduced topological index defined as,
where du denotes degree of vertex u. Here we define a new version of the ABC index as …

Let G=(V, E) be a simple connected molecular graph in chemical graph theory, where the
vertex set and edge set of G denoted by V (G) and E (G) respectively and its vertices …

In Chemical lea, the polycyclic aromatic hydrocarbons (PAHs) have intricate as a minimum
of two benzene rings enclosed in the cluster, linear, or angular arrangements. Benzenoids …

A graph G=(V, E) consists of a set of vertices V (G) and a set of edges E (G). In chemical
graphs, the vertices and edges of the graph correspond to the atoms of the molecule and …

The eccentricity connectivity polynomial of a molecular graph G is defined as EC (G, x)=
SaÎV (G) xecc (a), where ecc (a) is defined as the length of a maximal path connecting a to …

Polynomials with an exponential equivalent to the extent of a characteristic partition and
coefficients proportional to the multiplicity/occurrence of the accompanying partition are …

A nanostructure is an object of intermediate size between molecular and microscopic
structures. It is a product derived through engineering at the molecular scale. The most …

A topological index of a molecular structure is a numerical quantity that differentiates
between a base molecular structure and its branching pattern and helps in understanding …

Counting polynomials are closely related to certain features of chemical graphs and provide
an elegant means of expressing graph topological invariants. The current paper aims to …