Eccentricity Based Topological Indices of an Oxide Network

Abstract

Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of an oxide network and compute the total eccentricity, average eccentricity, eccentricity based Zagreb indices, atom-bond connectivity (ABC) index and geometric arithmetic index of an oxide network. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies.

On Some New Neighborhood Degree-Based Indices for Some Oxide and Silicate Networks

“…Then, applying vertex partition (10) and (ii) Let G ∼ = RHOX(n). Now, applying the vertex partition (12) and the E (12,14) E (14,14) E (14,16) E (16,16)…”

“…(i) Let G be the rhombus-type silicate network having dimension n. Applying the edge partition (10) and Table 11,on the definition of the neighborhood version of the second Zagreb index, we get the desired result as follows. (ii) Let G be the rhombus-type oxide network having dimension n. Applying the edge partition (12) and Table 12 on the definition of the neighborhood version of the second Zagreb index, we get the desired result as follows.…”

“…Now, applying edge partition (10) and (ii) Let G ∼ = RHOX(n). Now, applying edge partition (12) and Table 12 on the definition of the HM N index, we get the following computation.…”

“…In [11][12][13][14][15][16][17][18][19], topological indices for different chemically important graphs were discussed. Baig et al [20] derived topological indices for some silicate and oxide networks.…”

Degree-Distance Based Topological Indices of Crystal Cubic Carbon Structure

“…For more information and properties of Eccentricity based topological index, see [15][16][17][18][19][20][21][22].…”