d-Index of Graphs
The new distance defined on a connected graph G contains of three terms: The ordinary distance between any two vertices in G, both the sum and the product of the two vertices' degrees, as this distance is more useful than the ordinary distance, especially in chemical structures because of its e...
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| Format: | Article |
| Language: | English |
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Mosul University
2023-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_181641_0537eb20edc27d2ff44b3b5706b21cf1.pdf |
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| _version_ | 1849768442591182848 |
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| author | Asmaa Aziz |
| author_facet | Asmaa Aziz |
| author_sort | Asmaa Aziz |
| collection | DOAJ |
| description | The new distance defined on a connected graph G contains of three terms: The ordinary distance between any two vertices in G, both the sum and the product of the two vertices' degrees, as this distance is more useful than the ordinary distance, especially in chemical structures because of its effect on the number of bonds (edges) on the atoms (vertices) carbon (graph). In this article, were found index with respect to new distance (d- index) of regular graph, in addition, finding the relationships between d-index. Also, The relationships and The graph were found between the diameter and the radius for the ordinary distance and between the diameter and the radius for the new distance, and finally, The d-index was found for the join operation of two and nth graphs. |
| format | Article |
| id | doaj-art-188d86f0acc34abc8ca0c737c3e4f165 |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-188d86f0acc34abc8ca0c737c3e4f1652025-08-20T03:03:46ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902023-12-0117214114510.33899/csmj.2023.143774.1088181641d-Index of GraphsAsmaa Aziz0College of Computer Sciences and Mathematics Mosul University, Mosul, IraqThe new distance defined on a connected graph G contains of three terms: The ordinary distance between any two vertices in G, both the sum and the product of the two vertices' degrees, as this distance is more useful than the ordinary distance, especially in chemical structures because of its effect on the number of bonds (edges) on the atoms (vertices) carbon (graph). In this article, were found index with respect to new distance (d- index) of regular graph, in addition, finding the relationships between d-index. Also, The relationships and The graph were found between the diameter and the radius for the ordinary distance and between the diameter and the radius for the new distance, and finally, The d-index was found for the join operation of two and nth graphs.https://csmj.mosuljournals.com/article_181641_0537eb20edc27d2ff44b3b5706b21cf1.pdfwiener indexd-indexdiameter and radius of graph |
| spellingShingle | Asmaa Aziz d-Index of Graphs Al-Rafidain Journal of Computer Sciences and Mathematics wiener index d-index diameter and radius of graph |
| title | d-Index of Graphs |
| title_full | d-Index of Graphs |
| title_fullStr | d-Index of Graphs |
| title_full_unstemmed | d-Index of Graphs |
| title_short | d-Index of Graphs |
| title_sort | d index of graphs |
| topic | wiener index d-index diameter and radius of graph |
| url | https://csmj.mosuljournals.com/article_181641_0537eb20edc27d2ff44b3b5706b21cf1.pdf |
| work_keys_str_mv | AT asmaaaziz dindexofgraphs |