Calculating degree-based topological indices of dominating David derived networks

Abstract

An important area of applied mathematics is the Chemical reaction network theory. The behavior of real world problems can be modeled by using this theory. Due to applications in theoretical chemistry and biochemistry, it has attracted researchers since its foundation. It also attracts pure mathematicians because it involves interesting mathematical structures. In this report, we compute newly de ned topological indices, namely, Arithmetic-Geometric index (AG index), SK index, SK index, and SK index of the dominating David derived networks [1][2][3][4][5].

M-Polynomials and Degree-Based Topological Indices of the Crystallographic Structure of Molecules

“…Table 1 presented in [7,8,9] relates some of these well-known degree-based topological indices with the M-polynomial with the following reserved notations leftDx=x∂(f(x,y))∂x, Dy=y∂(f(x,y))∂y, Sx=140%true∫0xf(t,y)tdt,Sy=140%true∫0yf(x,t)tdt,J(f(x,y))=f(x,x), Qα(f(x,y))=xαf(x,y).…”

“…In spite of the fact that there have been a few contributions on distance-based indices and degree-based indices, [6,7,8,9] the investigations of the topological index for certain uncommon structures are still to a great extent restricted. As a result of this, enormous scholarly and modern thinking has been pulled in to examine the topological indices of drug structures from a mathematical perspective.…”

Computation of Irregularity Indices of Certain Computer Networks

“…Nevertheless, the emergence of new topological descriptors with extremely detecting capacity retains a concern without deformation for the scientific world [13,14].…”

Multiplicative topological indices of honeycomb derived networks

“…For relevant research, see [21,22]. In the hexagonal network HX(n), the parameter n is the number of ver-tices on each side of the network [23], whereas for the honeycomb network HC(n), n is the number of hexagons between a boundary and central hexagon [23]. Due to the significance of topological indices in chemistry, a lot of research has been done in this area.…”