Topological indices collect information from the graph of molecule and help to predict properties of the underlying molecule. Zagreb indices are among the most studied topological indices due to their applications in chemistry. In this paper, we compute first and second reverse Zagreb indices, reverse hyper-Zagreb indices and their polynomials of Prophyrin, Propyl ether imine, Zinc Porphyrin and Poly (ethylene amido amine) dendrimers.

The application of graph theory in chemical and molecular structure research has far exceeded people’s expectations, and it has recently grown exponentially. In the molecular graph, atoms are represented by vertices and bonds by edges. Topological indices help us to predict many physico-chemical properties of the concerned molecular compound. In this article, we compute Generalized first and multiplicative Zagreb indices, the multiplicative version of the atomic bond connectivity index, and the Generalized multiplicative Geometric Arithmetic index for silicon-carbon $S{i}_2{C}_{3^{-}}I\left[p,q\right]$ and $S{i}_2{C}_{3^{-}}\mathrm{II}\left[p,q\right]$ second.

Topological indices helps us to collect information about algebraic graphs and gives us mathematical approach to understand the properties of chemical structures. In this paper, we aim to compute multiplicative degree-based topological indices of Silicon-Carbon Si ₂ C ₃ −III [ p,q ] and SiC ₃ −III [ p,q ] .

Let G be a graph and let m _ij ( G ) , i, j ≥ 1, represents the number of edge of G , where i and j are the degrees of vertices u and v respectively. In this article, we will compute different polynomials of flower graph f ( _n×m ), namely M polynomial and Forgotten polynomial. These polynomials will help us to find many degree based topological indices, included different Zagreb indices, harmonic indices and forgotten index.

With the help of topological index (TI) we can guess different properties of molecular structures. TI enables us to associate a number with a molecular structure. Numerous compounds can be transformed into different shapes like trees, cycles, etc. This paper is about the reverse Zagreb indices, hyper reverse Zagreb indices and their polynomials for metal-organic networks.