Abstract
Organic compounds such as polyphenylene are very important and useful for the synthesis of many new organic compounds due to their physio-chemical properties. To ascertain these properties, one can use QSPR/QSAR methods which necessitate the computation of topological indices. The topological indices based on two newly introduced abstract notions of ev-degree and ve-degree are in practice to model numerous chemical properties as well as physical properties of organic, inorganic, hybrid, and biological compounds. In this study, we computed a certain number of topological indices for the chemical graph of polyphenylene network which will help to model some of its physio-chemical properties.
Highlights
(1) Degree of a vertex v means the number of edges connected to the vertex v denoted by dX(v)
Zagreb indices were first used to model anti-inflammatory agility in different acids [14], and M1 and M2 were used to model the clearance of cephalosporins and fraction bound in humans [15]
We calculated 19 topological indices discussed in Section 1 for the graph of polyphenylene network
Summary
For a graph X(V, E), we have (1) Degree of a vertex v means the number of edges connected to the vertex v denoted by dX(v). We will compute and discuss all the topological indices mentioned before, for the graph of polyphenylene network PN, as shown, where, in Figure 2, we show the unit segment of the graph. In the graph of polyphenylene network PN(V, E), we observe that there are 30m2 + 8m − 4 vertices and 34m2 + m + 3 edges.
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