Zero Divisor Graph Of ZpM qr with Applications
In this paper, we study zero-divisor graph of the ring Z<sub>p</sub><sup>m</sup><sub>qr</sub> and give some properties of this graph. Also, we find the chromatic number, Hosoya polynomial and Wiener index of this graph.
| Main Authors: | , , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2020-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_167334_c24111c4def9823b335e7304954d01d5.pdf |
| _version_ | 1818884674720628736 |
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| author | Nazar Shuker Husam Mohammad Luma Khaleel |
| author_facet | Nazar Shuker Husam Mohammad Luma Khaleel |
| author_sort | Nazar Shuker |
| collection | DOAJ |
| description | In this paper, we study zero-divisor graph of the ring Z<sub>p</sub><sup>m</sup><sub>qr</sub> and give some properties of this graph. Also, we find the chromatic number, Hosoya polynomial and Wiener index of this graph. |
| first_indexed | 2024-12-19T15:53:18Z |
| format | Article |
| id | doaj.art-88ef531837e14c23b7876c7156993b1a |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-12-19T15:53:18Z |
| publishDate | 2020-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-88ef531837e14c23b7876c7156993b1a2022-12-21T20:15:09ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902020-12-01142132310.33899/csmj.2019.167334167334Zero Divisor Graph Of ZpM qr with ApplicationsNazar Shuker0Husam Mohammad1Luma Khaleel2College of Computer Science and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics College of Computer Science and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics College of Education for Pure Science University of Mosul, Mosul, IraqIn this paper, we study zero-divisor graph of the ring Z<sub>p</sub><sup>m</sup><sub>qr</sub> and give some properties of this graph. Also, we find the chromatic number, Hosoya polynomial and Wiener index of this graph.https://csmj.mosuljournals.com/article_167334_c24111c4def9823b335e7304954d01d5.pdfzero-divisor graphchromatic numberhosoya polynomialwiener index |
| spellingShingle | Nazar Shuker Husam Mohammad Luma Khaleel Zero Divisor Graph Of ZpM qr with Applications Al-Rafidain Journal of Computer Sciences and Mathematics zero-divisor graph chromatic number hosoya polynomial wiener index |
| title | Zero Divisor Graph Of ZpM qr with Applications |
| title_full | Zero Divisor Graph Of ZpM qr with Applications |
| title_fullStr | Zero Divisor Graph Of ZpM qr with Applications |
| title_full_unstemmed | Zero Divisor Graph Of ZpM qr with Applications |
| title_short | Zero Divisor Graph Of ZpM qr with Applications |
| title_sort | zero divisor graph of zpm qr with applications |
| topic | zero-divisor graph chromatic number hosoya polynomial wiener index |
| url | https://csmj.mosuljournals.com/article_167334_c24111c4def9823b335e7304954d01d5.pdf |
| work_keys_str_mv | AT nazarshuker zerodivisorgraphofzpmqrwithapplications AT husammohammad zerodivisorgraphofzpmqrwithapplications AT lumakhaleel zerodivisorgraphofzpmqrwithapplications |