Laplacian spectra and structural insights: applications in chemistry and network science
This paper presents the practical applications of Laplacian and signless Laplacian spectra across various fields including theoretical chemistry, computer science, electrical engineering, and complex network analysis. By focusing on the spectrum-based evaluation of generalized mesh network and ladde...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2025-06-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2025.1519577/full |
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| author | Ali Raza Muhammad Mobeen Munir |
| author_facet | Ali Raza Muhammad Mobeen Munir |
| author_sort | Ali Raza |
| collection | DOAJ |
| description | This paper presents the practical applications of Laplacian and signless Laplacian spectra across various fields including theoretical chemistry, computer science, electrical engineering, and complex network analysis. By focusing on the spectrum-based evaluation of generalized mesh network and ladder graphs, the research aims to uncover valuable relationships with the structural properties of real-world networks. The study not only explores the theoretical underpinnings but also applies these spectra to calculate essential network measures such as mean-first passage time, average path length, spanning trees, and spectral radius. These analyses offer a deeper understanding of how graph spectra influence network characteristics, enriching our ability to predict and analyze complex networks. This comprehensive approach enhances our knowledge across multiple scientific disciplines, facilitating more informed predictions about drugs infrastructure. |
| format | Article |
| id | doaj-art-bbac7629d20f4e8e9b39fe5ccdc9b41a |
| institution | Kabale University |
| issn | 2297-4687 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj-art-bbac7629d20f4e8e9b39fe5ccdc9b41a2025-08-20T03:25:42ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872025-06-011110.3389/fams.2025.15195771519577Laplacian spectra and structural insights: applications in chemistry and network scienceAli RazaMuhammad Mobeen MunirThis paper presents the practical applications of Laplacian and signless Laplacian spectra across various fields including theoretical chemistry, computer science, electrical engineering, and complex network analysis. By focusing on the spectrum-based evaluation of generalized mesh network and ladder graphs, the research aims to uncover valuable relationships with the structural properties of real-world networks. The study not only explores the theoretical underpinnings but also applies these spectra to calculate essential network measures such as mean-first passage time, average path length, spanning trees, and spectral radius. These analyses offer a deeper understanding of how graph spectra influence network characteristics, enriching our ability to predict and analyze complex networks. This comprehensive approach enhances our knowledge across multiple scientific disciplines, facilitating more informed predictions about drugs infrastructure.https://www.frontiersin.org/articles/10.3389/fams.2025.1519577/fullLaplacian spectrumspectral radiusKirchhoff indexnetwork stabilityfirst passage time |
| spellingShingle | Ali Raza Muhammad Mobeen Munir Laplacian spectra and structural insights: applications in chemistry and network science Frontiers in Applied Mathematics and Statistics Laplacian spectrum spectral radius Kirchhoff index network stability first passage time |
| title | Laplacian spectra and structural insights: applications in chemistry and network science |
| title_full | Laplacian spectra and structural insights: applications in chemistry and network science |
| title_fullStr | Laplacian spectra and structural insights: applications in chemistry and network science |
| title_full_unstemmed | Laplacian spectra and structural insights: applications in chemistry and network science |
| title_short | Laplacian spectra and structural insights: applications in chemistry and network science |
| title_sort | laplacian spectra and structural insights applications in chemistry and network science |
| topic | Laplacian spectrum spectral radius Kirchhoff index network stability first passage time |
| url | https://www.frontiersin.org/articles/10.3389/fams.2025.1519577/full |
| work_keys_str_mv | AT aliraza laplacianspectraandstructuralinsightsapplicationsinchemistryandnetworkscience AT muhammadmobeenmunir laplacianspectraandstructuralinsightsapplicationsinchemistryandnetworkscience |