Some new results on the face index of certain polycyclic chemical networks

Author:

Luo Ricai1,Dawood Khadija2,Jamil Muhammad Kamran2,Azeem Muhammad2

Affiliation:

1. School of Mathematics and Physics, Hechi University, Yizhou, Guangxi 456300, China

2. Department of Mathematics, Riphah International University Lahore, Pakistan

Abstract

<abstract><p>Silicate minerals make up the majority of the earth's crust and account for almost 92 percent of the total. Silicate sheets, often known as silicate networks, are characterised as definite connectivity parallel designs. A key idea in studying different generalised classes of graphs in terms of planarity is the face of the graph. It plays a significant role in the embedding of graphs as well. Face index is a recently created parameter that is based on the data from a graph's faces. The current draft is utilizing a newly established face index, to study different silicate networks. It consists of a generalized chain of silicate, silicate sheet, silicate network, carbon sheet, polyhedron generalized sheet, and also triangular honeycomb network. This study will help to understand the structural properties of chemical networks because the face index is more generalized than vertex degree based topological descriptors.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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