w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic
Let G be a k<sub>0</sub>-connected graph ,and let , ,be the w- width distance between the two vertices u,v in G. The w-Wiener polynomial of the width distance of G is defined by: The w-Wiener polynomials of the square of a path , the square of a cycle ,and of an m-cube are obta...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2008-06-01
|
| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163959_3c24eef36f713a99d020bd3ff5dbf108.pdf |
| _version_ | 1818116982274260992 |
|---|---|
| author | Ali Ali Asma Aziz |
| author_facet | Ali Ali Asma Aziz |
| author_sort | Ali Ali |
| collection | DOAJ |
| description | Let G be a k<sub>0</sub>-connected graph ,and let , ,be the w- width distance between the two vertices u,v in G. The w-Wiener polynomial of the width distance of G is defined by:
The w-Wiener polynomials of the square of a path , the square of a cycle ,and of an m-cube are obtained in this paper . The diameter with respect to the width distance –w ,and the Wiener index for each such graphs are also obtained . |
| first_indexed | 2024-12-11T04:31:10Z |
| format | Article |
| id | doaj.art-40d40aa0cf64478f888dbfd130082a7c |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-12-11T04:31:10Z |
| publishDate | 2008-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-40d40aa0cf64478f888dbfd130082a7c2022-12-22T01:20:51ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902008-06-0151113210.33899/csmj.2008.163959163959w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-CubicAli Ali0Asma Aziz1College of Computer Science and Mathematics University of Mosul, IraqCollege of Computer Science and Mathematics University of Mosul, IraqLet G be a k<sub>0</sub>-connected graph ,and let , ,be the w- width distance between the two vertices u,v in G. The w-Wiener polynomial of the width distance of G is defined by: The w-Wiener polynomials of the square of a path , the square of a cycle ,and of an m-cube are obtained in this paper . The diameter with respect to the width distance –w ,and the Wiener index for each such graphs are also obtained .https://csmj.mosuljournals.com/article_163959_3c24eef36f713a99d020bd3ff5dbf108.pdfwiener polynomialspathcyclewidth distancewiener index |
| spellingShingle | Ali Ali Asma Aziz w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic Al-Rafidain Journal of Computer Sciences and Mathematics wiener polynomials path cycle width distance wiener index |
| title | w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic |
| title_full | w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic |
| title_fullStr | w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic |
| title_full_unstemmed | w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic |
| title_short | w-Wiener Polynomials of the Width Distance of the Square of a Path and a Cycle and a m-Cubic |
| title_sort | w wiener polynomials of the width distance of the square of a path and a cycle and a m cubic |
| topic | wiener polynomials path cycle width distance wiener index |
| url | https://csmj.mosuljournals.com/article_163959_3c24eef36f713a99d020bd3ff5dbf108.pdf |
| work_keys_str_mv | AT aliali wwienerpolynomialsofthewidthdistanceofthesquareofapathandacycleandamcubic AT asmaaziz wwienerpolynomialsofthewidthdistanceofthesquareofapathandacycleandamcubic |