Redefined Zagreb indices of Some Nano Structures

Abstract

In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and redefined Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs. In this paper, we present the exact expressions of redefined Zagreb indices for certain important chemical structures like nanotube and nanostar. As supplement, the redefined Zagreb indices of polyomino chain and benzenoid series are manifested.

On Generalized Topological Indices of Silicon-Carbon

“…A chemical structure can be represented by using graph theory, where vertices denote atoms and edges denote chemical bonds. Chemical graph theory is a branch of mathematical chemistry that it is a subject that connects mathematics, chemistry, and graph theory and solves problems arising in chemistry mathematically (for more details you can see [2][3][4][5][6][7][8]).…”

On topological properties of probabilistic neural network

“…For some recent study about this index we encourage our reader to [20][21][22]. Followed by redefined Zagreb index in this paper, we defined multiplicative redefined version of Zagreb index as…”

Convexity result and trees with large Balaban index

“…Recent papers on mathematical properties of this index include [7,12,13,18,23]. For further recent topics and open problems in chemical graph theory an interested reader is referred to [1,6,17,19,25,28]. It is known, that among graphs on n ≥ 8 vertices, Balaban index attains its maximum for the star on n vertices S n , and for graphs on n ≤ 7 vertices, Balaban index attains its maximum for the complete graph K n , see [11] and [21].…”