On Topological Indices for New Classes of Benes Network
Topological indices (TIs) transform a molecular graph into a number. The TIs are a vital tool for quantitative structure activity relationship (QSAR) and quantity structure property relationship (QSPR). In this paper, we constructed two classes of Benes network: horizontal cylindrical Benes network...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6690053 |
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| _version_ | 1832561266631114752 |
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| author | Aftab Hussain Muhammad Numan Nafisa Naz Saad Ihsan Butt Adnan Aslam Asfand Fahad |
| author_facet | Aftab Hussain Muhammad Numan Nafisa Naz Saad Ihsan Butt Adnan Aslam Asfand Fahad |
| author_sort | Aftab Hussain |
| collection | DOAJ |
| description | Topological indices (TIs) transform a molecular graph into a number. The TIs are a vital tool for quantitative structure activity relationship (QSAR) and quantity structure property relationship (QSPR). In this paper, we constructed two classes of Benes network: horizontal cylindrical Benes network HCBr and vertical cylindrical Benes network obtained by identification of vertices of first rows with last row and first column with last column of Benes network, respectively. We derive analytical close formulas for general Randić connectivity index, general Zagreb, first and the second Zagreb (and multiplicative Zagreb), general sum connectivity, atom-bond connectivity (VCBr), and geometric arithmetic ABC index of the two classes of Benes networks. Also, the fourth version of GA and the fifth version of ABC indices are computed for these classes of networks. |
| format | Article |
| id | doaj-art-14b1be0fab614b75b6f87b105831ad58 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-14b1be0fab614b75b6f87b105831ad582025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66900536690053On Topological Indices for New Classes of Benes NetworkAftab Hussain0Muhammad Numan1Nafisa Naz2Saad Ihsan Butt3Adnan Aslam4Asfand Fahad5Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, COMSATS University, Attock Campus, Islamabad, PakistanDepartment of Mathematics, COMSATS University, Attock Campus, Islamabad, PakistanDepartment of Mathematics, COMSATS University, Lahore Campus, Islamabad, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), PakistanDepartment of Mathematics, COMSATS University, Islamabad Vehari Campus, Vehari 61110, PakistanTopological indices (TIs) transform a molecular graph into a number. The TIs are a vital tool for quantitative structure activity relationship (QSAR) and quantity structure property relationship (QSPR). In this paper, we constructed two classes of Benes network: horizontal cylindrical Benes network HCBr and vertical cylindrical Benes network obtained by identification of vertices of first rows with last row and first column with last column of Benes network, respectively. We derive analytical close formulas for general Randić connectivity index, general Zagreb, first and the second Zagreb (and multiplicative Zagreb), general sum connectivity, atom-bond connectivity (VCBr), and geometric arithmetic ABC index of the two classes of Benes networks. Also, the fourth version of GA and the fifth version of ABC indices are computed for these classes of networks.http://dx.doi.org/10.1155/2021/6690053 |
| spellingShingle | Aftab Hussain Muhammad Numan Nafisa Naz Saad Ihsan Butt Adnan Aslam Asfand Fahad On Topological Indices for New Classes of Benes Network Journal of Mathematics |
| title | On Topological Indices for New Classes of Benes Network |
| title_full | On Topological Indices for New Classes of Benes Network |
| title_fullStr | On Topological Indices for New Classes of Benes Network |
| title_full_unstemmed | On Topological Indices for New Classes of Benes Network |
| title_short | On Topological Indices for New Classes of Benes Network |
| title_sort | on topological indices for new classes of benes network |
| url | http://dx.doi.org/10.1155/2021/6690053 |
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