In the study of QSPR/QSAR, topological indices such as Zagreb index, Randic index, atom-bond connectivity index are exploited to estimate the bioactivity of chemical compounds. Inspired by many degree based topological ...

Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u εV(G)M(u)ε(u)

Let G be a connected graph, the augmented eccentric connectivity index is a topological index was defined as $zeta(G)=sum_{i=1}^nM_i/E_i$, where Mi is the product of degrees of all vertices vj, adjacent to vertex ...

We present explicit formulas for the values of augmented eccentric connectivity indices of single-defect nanocones. Our main result is that the augmented eccentricity index of an n-layer nanocone with a single k-gonal ...

Let G be a group and R,L,S be subsets of G such that $R=R^{-1}$, $L=L^{-1}$ and $1\notin R\cup L$. The undirected graph $\SC(G;R,L,S)$ with vertex set  union of $G_1=\{g_1\mid g\in G\}$ and $G_2=\{g_2\mid g\in G\}$, and ...

Recently, Shigehalli and Kanabur [20] have put forward for new degree based topological indices, namely Arithmetic-Geometric index (AG1 index), SK index, SK1 index and SK2 index of a molecular graph ...

Recently, Shigehalli and Kanabur [20] have put forward for new degree based topological indices, namely Arithmetic-Geometric index (AG1 index), SK index, SK1 index and SK2 index of a molecular graph G. In this paper, we ...

The geometric-arithmetic index is a topological index was defined as GA(G)=∑uv2(dudv)1/2/(du+dv), in which degree of vertex u denoted by dG(u ). ...

We exhibit a polynomial time algorithm that computes the Clar number of any nanotube. This algorithm can be easily extended to one that computes the Clar number of fullerene whose pentagon-clusters are all of even size.

The concept of energy of graph is defined in 1978 by Ivan Gutman as the sum of the absolute values of the eigenvalues of a graph. In this article we estimate the energy of small fullerenes.

The geometric-arithmetic index is a topological index was defined as $GA(G)=\sum{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}}$, where du denotes the degree of vertex u in G. By replacing instead $\delta_u=\sum_{v\cong u} ...

The geometric-arithmetic index is a topological index was defined as $GA(G)=sum{uvin E(G)}frac{2sqrt{d_ud_v}}{d_u+d_v}}$, where du denotes the degree of vertex u in G. By replacing instead $delta_u=sum_{vcong ...

Using density functional theory calculations, we investigated properties of a functionalized carbon nanotube with one mercarzole molecule as a benzimidazole fungicide. Three different configurations are possible depending ...

The eccentric connectivity index of the molecular graph is defined as $zeta^c(G)=sum_{uvin E}degG(u)ε(u)$ , where degG(x) denotes the degree of the vertex x in G and ε(u)=max{d(x,u) |x ε V(G)}. In ...

One of the most important ideas employed in chemical graph theory is that of so-called topological indices. This is to associate a numerical value with a graph structure that often has some kind of correlation ...

The symmetric division deg index (or simply SDD) was proposed by Vukicevic et al.as a remarkable predictor of total surface area of polychlorobiphenyls. We are interested in how the SDD of a graph changes when edges are ...

In this paper, we study the edge version of some degree based topological indices such as general sum-connectivity index, Randic index, inverse sum indeg index, symmetric division deg index, augmenting Zagreb index and ...

This paper reviews different method for synthesis of SnO2 and their nanocomposites with various morphologies as well as the study of sensing properties of these materials. The sensing properties of these materials depend ...

This paper reviews effects of organic compounds for synthesis of ZnO by reflux method as well as systematic investigation on the relationship between the structures of organic compounds on ZnO nanostructures morphology. ...

The energy, E(G), of a simple graph G is defined to be the sum of the absolute values of the eigen values of G. In this paper, we introduce some in-equalities of energy of graphs.