On analysis of silicon dioxide based on topological indices and entropy measure via regression model

The construction sector accounts for around 95% of the commercial usage of silicon dioxide (sand), for example, in the making of concrete. There are several uses for quartz, however in order to get a purer material, chemical processing is needed. Graph theory proved to be very beneficial for other research, especially in the applied sciences. In particular, graph theory has greatly influenced the field of chemistry. To do this, a transformation is needed to produce a graph with the vertices representing the atoms in the chemical compound and the edges indicating the bonds between the atoms. This graph then represents a chemical network or structure. In a graph, a vertex's valency (or degree) is determined by the number of edges that are incident to it. The entropy of a probability quantifies a system's level of uncertainty. In this article, we compute Zagreb-type indices and then compute the entropy measure. In order to evaluate the relevance of each kind, this article builds several edge degree-based entropies that link to the indices and establish how to adjust them. We also create the logarithmic regression model between indices and entropy.

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Publication Details

Journal
Scientific Reports
Published
2024-09-28
DOI
https://doi.org/10.1038/s41598-024-73163-8
Citations
11
Primary Topic
Remote-Sensing Image Classification
Type
article
Field-Weighted Citation Impact
3.52
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On analysis of silicon dioxide based on topological indices and entropy measure via regression model

Rongbing Huang, Muhammad Farhan Hanif, Muhammad Kamran Siddiqui, Muhammad Faisal Hanif et al.
11 citations
Scientific Reports
Remote-Sensing Image Classification
3.52
article

On analysis of silicon dioxide based on topological indices and entropy measure via regression model

Rongbing Huang, Muhammad Farhan Hanif, Muhammad Kamran Siddiqui, Muhammad Faisal Hanif, Brima Gegbe
article en
11 citations

Abstract

The construction sector accounts for around 95% of the commercial usage of silicon dioxide (sand), for example, in the making of concrete. There are several uses for quartz, however in order to get a purer material, chemical processing is needed. Graph theory proved to be very beneficial for other research, especially in the applied sciences. In particular, graph theory has greatly influenced the field of chemistry. To do this, a transformation is needed to produce a graph with the vertices representing the atoms in the chemical compound and the edges indicating the bonds between the atoms. This graph then represents a chemical network or structure. In a graph, a vertex's valency (or degree) is determined by the number of edges that are incident to it. The entropy of a probability quantifies a system's level of uncertainty. In this article, we compute Zagreb-type indices and then compute the entropy measure. In order to evaluate the relevance of each kind, this article builds several edge degree-based entropies that link to the indices and establish how to adjust them. We also create the logarithmic regression model between indices and entropy.

Scientific ReportsVol. 14(1)
University of Lahore (PK), COMSATS University Islamabad (PK), Njala University (SL), Chengdu University (CN)
Climate action
Openalex Percentile: Top 7%
Remote-Sensing Image Classification
3.52
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On analysis of silicon dioxide based on topological indices and entropy measure via regression model — Rongbing Huang, Muhammad Farhan Hanif, et al. · Scientific Reports (2024) | TGRS Research Map | TGRS