Extremal topological indices of some nanostructures
In this work, general formulas of degree-based and neighborhood degree sum-based topological indices for a 2D lattice of H-Naphtalenic nanotubes and pent-heptagonal nanosheets are determined. As an example, six neighborhood degree sum-based topological indices are computed using the obtained formula...
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Format: | Article |
Language: | English |
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Elsevier
2023-11-01
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Series: | Heliyon |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023084311 |
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author | Shivani Rai Biswajit Deb Zahid Raza Sourav Mondal |
author_facet | Shivani Rai Biswajit Deb Zahid Raza Sourav Mondal |
author_sort | Shivani Rai |
collection | DOAJ |
description | In this work, general formulas of degree-based and neighborhood degree sum-based topological indices for a 2D lattice of H-Naphtalenic nanotubes and pent-heptagonal nanosheets are determined. As an example, six neighborhood degree sum-based topological indices are computed using the obtained formula. Furthermore, the extremal cases of these nanostructures with a fixed number of blocks are characterized for a given degree-based or neighborhood degree sum-based topological index. Also a visual comparison of these indices is shown. Additionally, it is demonstrated how beneficial the indices are for representing structure-property relationships. |
first_indexed | 2024-03-09T09:20:07Z |
format | Article |
id | doaj.art-c9635ef3359a4a41afb8e736f8c3a5a9 |
institution | Directory Open Access Journal |
issn | 2405-8440 |
language | English |
last_indexed | 2024-03-09T09:20:07Z |
publishDate | 2023-11-01 |
publisher | Elsevier |
record_format | Article |
series | Heliyon |
spelling | doaj.art-c9635ef3359a4a41afb8e736f8c3a5a92023-12-02T07:01:31ZengElsevierHeliyon2405-84402023-11-01911e21223Extremal topological indices of some nanostructuresShivani Rai0Biswajit Deb1Zahid Raza2Sourav Mondal3Sikkim Manipal Institute of Technology, Sikkim Manipal University, Sikkim 737136, India; The ICFAI University, Sikkim 737101, IndiaSikkim Manipal Institute of Technology, Sikkim Manipal University, Sikkim 737136, IndiaDepartment of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates; Corresponding author.Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea; Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu-603 203, IndiaIn this work, general formulas of degree-based and neighborhood degree sum-based topological indices for a 2D lattice of H-Naphtalenic nanotubes and pent-heptagonal nanosheets are determined. As an example, six neighborhood degree sum-based topological indices are computed using the obtained formula. Furthermore, the extremal cases of these nanostructures with a fixed number of blocks are characterized for a given degree-based or neighborhood degree sum-based topological index. Also a visual comparison of these indices is shown. Additionally, it is demonstrated how beneficial the indices are for representing structure-property relationships.http://www.sciencedirect.com/science/article/pii/S2405844023084311Topological indexNeighborhood degree sumH-Naphtalenic nanotubesPent-heptagonal nanosheets |
spellingShingle | Shivani Rai Biswajit Deb Zahid Raza Sourav Mondal Extremal topological indices of some nanostructures Heliyon Topological index Neighborhood degree sum H-Naphtalenic nanotubes Pent-heptagonal nanosheets |
title | Extremal topological indices of some nanostructures |
title_full | Extremal topological indices of some nanostructures |
title_fullStr | Extremal topological indices of some nanostructures |
title_full_unstemmed | Extremal topological indices of some nanostructures |
title_short | Extremal topological indices of some nanostructures |
title_sort | extremal topological indices of some nanostructures |
topic | Topological index Neighborhood degree sum H-Naphtalenic nanotubes Pent-heptagonal nanosheets |
url | http://www.sciencedirect.com/science/article/pii/S2405844023084311 |
work_keys_str_mv | AT shivanirai extremaltopologicalindicesofsomenanostructures AT biswajitdeb extremaltopologicalindicesofsomenanostructures AT zahidraza extremaltopologicalindicesofsomenanostructures AT souravmondal extremaltopologicalindicesofsomenanostructures |