Forgotten Index of Generalized Operations on Graphs
In theoretical chemistry, several distance-based, degree-based, and counting polynomial-related topological indices (TIs) are used to investigate the different chemical and structural properties of the molecular graphs. Furtula and Gutman redefined the F-index as the sum of cubes of degrees of the v...
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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 Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2021/9971277 |
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| _version_ | 1832547613772087296 |
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| author | Muhammad Javaid Saira Javed Saima Q. Memon Abdulaziz Mohammed Alanazi |
| author_facet | Muhammad Javaid Saira Javed Saima Q. Memon Abdulaziz Mohammed Alanazi |
| author_sort | Muhammad Javaid |
| collection | DOAJ |
| description | In theoretical chemistry, several distance-based, degree-based, and counting polynomial-related topological indices (TIs) are used to investigate the different chemical and structural properties of the molecular graphs. Furtula and Gutman redefined the F-index as the sum of cubes of degrees of the vertices of the molecular graphs to study the different properties of their structure-dependency. In this paper, we compute F-index of generalized sum graphs in terms of various TIs of their factor graphs, where generalized sum graphs are obtained by using four generalized subdivision-related operations and the strong product of graphs. We have analyzed our results through the numerical tables and the graphical presentations for the particular generalized sum graphs constructed with the help of path (alkane) graphs. |
| format | Article |
| id | doaj-art-0585a70fee4d4f69b875aedf76c07150 |
| institution | Kabale University |
| issn | 2090-9063 2090-9071 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-0585a70fee4d4f69b875aedf76c071502025-02-03T06:43:48ZengWileyJournal of Chemistry2090-90632090-90712021-01-01202110.1155/2021/99712779971277Forgotten Index of Generalized Operations on GraphsMuhammad Javaid0Saira Javed1Saima Q. Memon2Abdulaziz Mohammed Alanazi3Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore 54770, PakistanM. A. Kazi Institute of Chemistry, University of Sindh, Jamshoro, PakistanDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaIn theoretical chemistry, several distance-based, degree-based, and counting polynomial-related topological indices (TIs) are used to investigate the different chemical and structural properties of the molecular graphs. Furtula and Gutman redefined the F-index as the sum of cubes of degrees of the vertices of the molecular graphs to study the different properties of their structure-dependency. In this paper, we compute F-index of generalized sum graphs in terms of various TIs of their factor graphs, where generalized sum graphs are obtained by using four generalized subdivision-related operations and the strong product of graphs. We have analyzed our results through the numerical tables and the graphical presentations for the particular generalized sum graphs constructed with the help of path (alkane) graphs.http://dx.doi.org/10.1155/2021/9971277 |
| spellingShingle | Muhammad Javaid Saira Javed Saima Q. Memon Abdulaziz Mohammed Alanazi Forgotten Index of Generalized Operations on Graphs Journal of Chemistry |
| title | Forgotten Index of Generalized Operations on Graphs |
| title_full | Forgotten Index of Generalized Operations on Graphs |
| title_fullStr | Forgotten Index of Generalized Operations on Graphs |
| title_full_unstemmed | Forgotten Index of Generalized Operations on Graphs |
| title_short | Forgotten Index of Generalized Operations on Graphs |
| title_sort | forgotten index of generalized operations on graphs |
| url | http://dx.doi.org/10.1155/2021/9971277 |
| work_keys_str_mv | AT muhammadjavaid forgottenindexofgeneralizedoperationsongraphs AT sairajaved forgottenindexofgeneralizedoperationsongraphs AT saimaqmemon forgottenindexofgeneralizedoperationsongraphs AT abdulazizmohammedalanazi forgottenindexofgeneralizedoperationsongraphs |