w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs
, be the w- width , Let G be a k<sub>0</sub>-connected graph, and let the 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 Cartesian product of K<su...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2008-12-01
|
| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163989_027fff230e06698dfcba2933328f6944.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850221227344396288 |
|---|---|
| author | Ali Ali Asma Aziz |
| author_facet | Ali Ali Asma Aziz |
| author_sort | Ali Ali |
| collection | DOAJ |
| description | , be the w- width , Let G be a k<sub>0</sub>-connected graph, and let the 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 Cartesian product of K<sub>2</sub>with Complete graphK<sub>p</sub>, Star S<sub>p</sub>, Complete bipartite graph K<sub>r,s</sub> and path P<sub>r , </sub>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. |
| format | Article |
| id | doaj-art-70f29c83ff294fd9bf8d1aa4908ce301 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2008-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-70f29c83ff294fd9bf8d1aa4908ce3012025-08-20T02:06:47ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902008-12-015211713310.33899/csmj.2008.163989163989w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special GraphsAli Ali0Asma Aziz1College of Computer Science and Mathematics University of Mosul, IraqCollege of Computer Science and Mathematics University of Mosul, Iraq, be the w- width , Let G be a k<sub>0</sub>-connected graph, and let the 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 Cartesian product of K<sub>2</sub>with Complete graphK<sub>p</sub>, Star S<sub>p</sub>, Complete bipartite graph K<sub>r,s</sub> and path P<sub>r , </sub>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_163989_027fff230e06698dfcba2933328f6944.pdfwiener polynomialswidth distancewiener index |
| spellingShingle | Ali Ali Asma Aziz w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs Al-Rafidain Journal of Computer Sciences and Mathematics wiener polynomials width distance wiener index |
| title | w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs |
| title_full | w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs |
| title_fullStr | w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs |
| title_full_unstemmed | w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs |
| title_short | w-Wiener Polynomials for Width Distance of the Cartesian Product of K2 with Special Graphs |
| title_sort | w wiener polynomials for width distance of the cartesian product of k2 with special graphs |
| topic | wiener polynomials width distance wiener index |
| url | https://csmj.mosuljournals.com/article_163989_027fff230e06698dfcba2933328f6944.pdf |
| work_keys_str_mv | AT aliali wwienerpolynomialsforwidthdistanceofthecartesianproductofk2withspecialgraphs AT asmaaziz wwienerpolynomialsforwidthdistanceofthecartesianproductofk2withspecialgraphs |