Non-commuting graph of the dihedral group determined by Hosoya parameters
Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer-assisted design of new chemical compounds. In this...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-05-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821006128 |
| _version_ | 1828279229396025344 |
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| author | Muhammad Salman Tahira Noreen Masood Ur Rehman Jinde Cao Muhammad Zafar Abbas |
| author_facet | Muhammad Salman Tahira Noreen Masood Ur Rehman Jinde Cao Muhammad Zafar Abbas |
| author_sort | Muhammad Salman |
| collection | DOAJ |
| description | Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer-assisted design of new chemical compounds. In this article, we determine the non-commuting graph associated with the dihedral group by using three Hosoya parameters (Hosoya polynomial, reciprocal Hosoya polynomial and Hosoya index). These Hosoya parameters contain a pile of information about distance structure as well as the edge independent structure of the above-mentioned graph. |
| first_indexed | 2024-04-13T07:40:46Z |
| format | Article |
| id | doaj.art-de1a2bfe0ca9479d9b21b7814e538c05 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-13T07:40:46Z |
| publishDate | 2022-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-de1a2bfe0ca9479d9b21b7814e538c052022-12-22T02:55:55ZengElsevierAlexandria Engineering Journal1110-01682022-05-0161537093717Non-commuting graph of the dihedral group determined by Hosoya parametersMuhammad Salman0Tahira Noreen1Masood Ur Rehman2Jinde Cao3Muhammad Zafar Abbas4Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan; Department of Mathematics and Statistics, Institute of Southern Punjab, Multan 60800, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, University College of Zhob, BUITEMS, Zhob 85200, Pakistan; Corresponding author.School of Mathematics, Southeast University, Nanjing 210096, PR China; Yonsei Frontier Lab, Yonsei University, Seoul 03722, South KoreaDepartment of Mathematics and Statistics, Institute of Southern Punjab, Multan 60800, PakistanHosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer-assisted design of new chemical compounds. In this article, we determine the non-commuting graph associated with the dihedral group by using three Hosoya parameters (Hosoya polynomial, reciprocal Hosoya polynomial and Hosoya index). These Hosoya parameters contain a pile of information about distance structure as well as the edge independent structure of the above-mentioned graph.http://www.sciencedirect.com/science/article/pii/S111001682100612815A2705C0705C1205C92 |
| spellingShingle | Muhammad Salman Tahira Noreen Masood Ur Rehman Jinde Cao Muhammad Zafar Abbas Non-commuting graph of the dihedral group determined by Hosoya parameters Alexandria Engineering Journal 15A27 05C07 05C12 05C92 |
| title | Non-commuting graph of the dihedral group determined by Hosoya parameters |
| title_full | Non-commuting graph of the dihedral group determined by Hosoya parameters |
| title_fullStr | Non-commuting graph of the dihedral group determined by Hosoya parameters |
| title_full_unstemmed | Non-commuting graph of the dihedral group determined by Hosoya parameters |
| title_short | Non-commuting graph of the dihedral group determined by Hosoya parameters |
| title_sort | non commuting graph of the dihedral group determined by hosoya parameters |
| topic | 15A27 05C07 05C12 05C92 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821006128 |
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