Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator
This study presents the precise formulation of the Nirmala index and the first and second inverse Nirmala indices for the double graph of the silicon carbide network Si2C3-I[k, l], using its M-polynomial. Entropy measures based on these indices are derived using Shannon’s entropy model. Numerical an...
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| Format: | Article |
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Alexandru Ioan Cuza University of Iasi
2025-06-01
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| Series: | Scientific Annals of Computer Science |
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| Online Access: | https://publications.info.uaic.ro/scientific-annals-of-computer-science/sacs-volumes/xxxv-1/degree-based-topological-characterization-and-graph-energy-prediction-of-silicon-carbide-network-via-double-graph-operator/ |
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| author | U. Vijaya Chandra Kumar H. M. Nagesh M. B. Madhusudana Reddy |
| author_facet | U. Vijaya Chandra Kumar H. M. Nagesh M. B. Madhusudana Reddy |
| author_sort | U. Vijaya Chandra Kumar |
| collection | DOAJ |
| description | This study presents the precise formulation of the Nirmala index and the first and second inverse Nirmala indices for the double graph of the silicon carbide network Si2C3-I[k, l], using its M-polynomial. Entropy measures based on these indices are derived using Shannon’s entropy model. Numerical and graphical comparisons are conducted between the Nirmala indices and their corresponding entropy measures. Curve fitting and Pearson correlation analysis are used to examine their relationships. Finally, the computed indices are employed to develop a predictive model for the graph energy of Si2C3-I[k, l] and estimate the HOMO-LUMO gap.
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| format | Article |
| id | doaj-art-7aa3c662ae2745ddb5633cd15be61dae |
| institution | OA Journals |
| issn | 1843-8121 2248-2695 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Alexandru Ioan Cuza University of Iasi |
| record_format | Article |
| series | Scientific Annals of Computer Science |
| spelling | doaj-art-7aa3c662ae2745ddb5633cd15be61dae2025-08-20T02:02:10ZengAlexandru Ioan Cuza University of IasiScientific Annals of Computer Science1843-81212248-26952025-06-01XXXV1538510.47743/SACS.2025.1.53Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph OperatorU. Vijaya Chandra Kumar0H. M. Nagesh1M. B. Madhusudana Reddy2Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, IndiaDepartment of Science & Humanities, PES University, BengaluruDepartment of Chemistry, School of Applied Sciences, REVA University, Bengaluru, IndiaThis study presents the precise formulation of the Nirmala index and the first and second inverse Nirmala indices for the double graph of the silicon carbide network Si2C3-I[k, l], using its M-polynomial. Entropy measures based on these indices are derived using Shannon’s entropy model. Numerical and graphical comparisons are conducted between the Nirmala indices and their corresponding entropy measures. Curve fitting and Pearson correlation analysis are used to examine their relationships. Finally, the computed indices are employed to develop a predictive model for the graph energy of Si2C3-I[k, l] and estimate the HOMO-LUMO gap. https://publications.info.uaic.ro/scientific-annals-of-computer-science/sacs-volumes/xxxv-1/degree-based-topological-characterization-and-graph-energy-prediction-of-silicon-carbide-network-via-double-graph-operator/: nirmala indexfirst and second inverse nirmala indexgraph entropysilicon carbide networkdouble graph |
| spellingShingle | U. Vijaya Chandra Kumar H. M. Nagesh M. B. Madhusudana Reddy Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator Scientific Annals of Computer Science : nirmala index first and second inverse nirmala index graph entropy silicon carbide network double graph |
| title | Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator |
| title_full | Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator |
| title_fullStr | Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator |
| title_full_unstemmed | Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator |
| title_short | Degree-based Topological Characterization and Graph Energy Prediction of Silicon Carbide Network Si2C3-I[k, l] via Double Graph Operator |
| title_sort | degree based topological characterization and graph energy prediction of silicon carbide network si2c3 i k l via double graph operator |
| topic | : nirmala index first and second inverse nirmala index graph entropy silicon carbide network double graph |
| url | https://publications.info.uaic.ro/scientific-annals-of-computer-science/sacs-volumes/xxxv-1/degree-based-topological-characterization-and-graph-energy-prediction-of-silicon-carbide-network-via-double-graph-operator/ |
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