An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect
The inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2021/6657039 |
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| _version_ | 1849404283905114112 |
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| author | Muhammad Asif Muhammad Hussain Hamad Almohamedh Khalid M. Alhamed Sultan Almotairi |
| author_facet | Muhammad Asif Muhammad Hussain Hamad Almohamedh Khalid M. Alhamed Sultan Almotairi |
| author_sort | Muhammad Asif |
| collection | DOAJ |
| description | The inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families of n-vertex connected graph with pendent paths of fixed length attached with fully connected vertices under the effect of transformations applied on these paths. Moreover, we computed exact values of the inverse degree index for regular graph specifically unicyclic graph. |
| format | Article |
| id | doaj-art-9522763b8a744a7889de3da8c314ee0b |
| 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-9522763b8a744a7889de3da8c314ee0b2025-08-20T03:37:02ZengWileyJournal of Chemistry2090-90632090-90712021-01-01202110.1155/2021/66570396657039An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation EffectMuhammad Asif0Muhammad Hussain1Hamad Almohamedh2Khalid M. Alhamed3Sultan Almotairi4Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanFaculty of King Abdulaziz City for Science and Technology (KACST) Riyadh, Riyath, Saudi ArabiaIT Programs Center, Faculty of IT Department, Institute of Public Administration, Riyadh 11141, Saudi ArabiaDepartment of Natural and Applied Sciences, Faculty of Community College, Majmaah University, Majmaah 11952, Saudi ArabiaThe inverse degree index is a topological index first appeared as a conjuncture made by computer program Graffiti in 1988. In this work, we use transformations over graphs and characterize the inverse degree index for these transformed families of graphs. We established bonds for different families of n-vertex connected graph with pendent paths of fixed length attached with fully connected vertices under the effect of transformations applied on these paths. Moreover, we computed exact values of the inverse degree index for regular graph specifically unicyclic graph.http://dx.doi.org/10.1155/2021/6657039 |
| spellingShingle | Muhammad Asif Muhammad Hussain Hamad Almohamedh Khalid M. Alhamed Sultan Almotairi An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect Journal of Chemistry |
| title | An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect |
| title_full | An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect |
| title_fullStr | An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect |
| title_full_unstemmed | An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect |
| title_short | An Approach to the Extremal Inverse Degree Index for Families of Graphs with Transformation Effect |
| title_sort | approach to the extremal inverse degree index for families of graphs with transformation effect |
| url | http://dx.doi.org/10.1155/2021/6657039 |
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