Exact Formulae for Degree Distance Indices of Sum Graphs
The degree distance index (DDI) is a vertex-degree weighted version of a well-known index that is called by Wiener index (WI). In extremal theory of graphs, improving the bounds with best possible values is a worth investigating problem. In this note, the exact formulae of the DDI for the four diffe...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6193727 |
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| _version_ | 1832551112462303232 |
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| author | Muhammad Javaid Faiz Farid Jia-Bao Liu Abdulaziz Mohammed Alanazi |
| author_facet | Muhammad Javaid Faiz Farid Jia-Bao Liu Abdulaziz Mohammed Alanazi |
| author_sort | Muhammad Javaid |
| collection | DOAJ |
| description | The degree distance index (DDI) is a vertex-degree weighted version of a well-known index that is called by Wiener index (WI). In extremal theory of graphs, improving the bounds with best possible values is a worth investigating problem. In this note, the exact formulae of the DDI for the four different types of the sum graphs in the terms of various indices of their factor graphs are computed. Moreover, a comparison is also presented between the obtained exact and already existing bounded values for the particular sum graphs. |
| format | Article |
| id | doaj-art-5866a21dad754c68a15e173f26e699dd |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5866a21dad754c68a15e173f26e699dd2025-02-03T06:04:59ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6193727Exact Formulae for Degree Distance Indices of Sum GraphsMuhammad Javaid0Faiz Farid1Jia-Bao Liu2Abdulaziz Mohammed Alanazi3Department of MathematicsDepartment of MathematicsSchool of Mathematics and PhysicsDepartment of MathematicsThe degree distance index (DDI) is a vertex-degree weighted version of a well-known index that is called by Wiener index (WI). In extremal theory of graphs, improving the bounds with best possible values is a worth investigating problem. In this note, the exact formulae of the DDI for the four different types of the sum graphs in the terms of various indices of their factor graphs are computed. Moreover, a comparison is also presented between the obtained exact and already existing bounded values for the particular sum graphs.http://dx.doi.org/10.1155/2022/6193727 |
| spellingShingle | Muhammad Javaid Faiz Farid Jia-Bao Liu Abdulaziz Mohammed Alanazi Exact Formulae for Degree Distance Indices of Sum Graphs Journal of Mathematics |
| title | Exact Formulae for Degree Distance Indices of Sum Graphs |
| title_full | Exact Formulae for Degree Distance Indices of Sum Graphs |
| title_fullStr | Exact Formulae for Degree Distance Indices of Sum Graphs |
| title_full_unstemmed | Exact Formulae for Degree Distance Indices of Sum Graphs |
| title_short | Exact Formulae for Degree Distance Indices of Sum Graphs |
| title_sort | exact formulae for degree distance indices of sum graphs |
| url | http://dx.doi.org/10.1155/2022/6193727 |
| work_keys_str_mv | AT muhammadjavaid exactformulaefordegreedistanceindicesofsumgraphs AT faizfarid exactformulaefordegreedistanceindicesofsumgraphs AT jiabaoliu exactformulaefordegreedistanceindicesofsumgraphs AT abdulazizmohammedalanazi exactformulaefordegreedistanceindicesofsumgraphs |