Edge valency-based entropies of tetrahedral sheets of clay minerals

Humanity has always benefited from an intercapillary study in the quantification of natural occurrences in mathematics and other pure scientific fields. Graph theory was extremely helpful to other studies, particularly in the applied sciences. Specifically, in chemistry, graph theory made a signific...

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Bibliographic Details
Published in:PloS one 2023-07, Vol.18 (7), p.e0288931
Main Authors: Tang, Yong, Labba, Muhammad, Jamil, Muhammad Kamran, Azeem, Muhammad, Zhang, Xiujun
Format: Article
Language:English
Subjects:
Analysis
Apexes
Carbon
Cellulose
Chemical bonds
Chemical compounds
Chemical structure
Clay
Clay minerals
Computer and Information Sciences
Crystallography
Earth Sciences
Engineering and Technology
Entropy
Fractals
Graph theory
Graphene
Graphical representations
Graphs
Minerals
Molecular structure
Physical Sciences
Polycyclic aromatic hydrocarbons
Properties
Statistical analysis
Tissue engineering
Valency
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Summary:Humanity has always benefited from an intercapillary study in the quantification of natural occurrences in mathematics and other pure scientific fields. Graph theory was extremely helpful to other studies, particularly in the applied sciences. Specifically, in chemistry, graph theory made a significant contribution. For this, a transformation is required to create a graph representing a chemical network or structure, where the vertices of the graph represent the atoms in the chemical compound and the edges represent the bonds between the atoms. The quantity of edges that are incident to a vertex determines its valency (or degree) in a graph. The degree of uncertainty in a system is measured by the entropy of a probability. This idea is heavily grounded in statistical reasoning. It is primarily utilized for graphs that correspond to chemical structures. The development of some novel edge-weighted based entropies that correspond to valency-based topological indices is made possible by this research. Then these compositions are applied to clay mineral tetrahedral sheets. Since they have been in use for so long, corresponding indices are thought to be the most effective methods for quantifying chemical graphs. This article develops multiple edge degree-based entropies that correlate to the indices and determines how to modify them in order to assess the significance of each type.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0288931