Topological indices are mathematical descriptors for molecular structures. These used to describe physico-chemical properties such as solubility, shape and weight. In this paper, we present distance-based topological Wiener index hyper-Wiener by using Hosoya polynomial inverse graphs associated with finite cyclic group. Also, have found eccentricity based of

In this paper, the Wiener Index ( ) ( ) { } ( ) ∑ ∈ = G V u v u v d G W , , and Hosoya polynomial ( ) ( ) { } ( ) ∑ ∈ = G V u v u v d x x G H , , , of a class of Jahangir graphs m J , 3 with exactly 1 3 + m vertices and m 4 edges are computed.

The Wiener index is a graph invariant that has found extensive application in chemistry. In addition to that a generating function, which was called the Wiener polynomial, who’s derivate is a q-analog of the Wiener index was defined. In an article, Sagan, Yeh and Zhang in [The Wiener Polynomial of a graph, Int. J. Quantun Chem., 60 (1996), 959969] attained what graph operations do to the Wiene...

Topological polynomial and indices based on the distance between vertices of a connected graph are widely used in chemistry to establish relation structure properties molecules. In similar way, chromatic versions certain topological related have also been discussed recent literature. this paper, we present Schultz Gutman polynomials expanded form Hosoya polynomials, then derive these for specia...

Topological polynomial and indices based on the distance between vertices of a connected graph are widely used in chemistry to establish relation structure properties molecules. In similar way, chromatic versions certain topological related have also been discussed recent literature. this paper, we present Schultz Gutman polynomials expanded form Hosoya polynomials, then derive these for specia...

This paper demonstrates properties of Hosoya entropy, a quantitative measure of graph complexity based on a decomposition of the vertices linked to partial Hosoya polynomials. Connections between the information content of a graph and Hosoya entropy are established, and the special case of Hosoya entropy of trees is investigated.

A topological index plays an important role in characterising various physical properties, biological activities, and chemical reactivities of a molecular graph. The Hosoya polynomial is used to evaluate the distance-based indices such as Wiener index, hyper-Wiener Harary Tratch – Stankevitch Zefirov index. In present study, we determine closed form for third type chain hex-derived network dime...