On the Planarity of Extended Zero-Divisor Graphs of Local Rings
| dc.contributor.author | Binyamin, Muhammad Ahsan | |
| dc.contributor.author | Chaudry, Sheroz Alam | |
| dc.contributor.author | Abbasi, Muhammad Salman | |
| dc.contributor.author | Alameri, Abdu | |
| dc.contributor.author | Mohammadzadeh, Ardashir | |
| dc.date.accessioned | 2026-06-15T23:15:50Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Let R be a commutative ring with unity 1? 0. Recently Bennis et al. defined the concept of extended zero-divisor graph ? (R) by considering the vertex set V (? (R)) Z?(R) and any two vertices x and y are adjacent if there exist positive integers m and n, such that xmyn 0 with xm? 0 and yn? 0. e main objective of this article is to check the planar property of extended zero-divisor graphs. Also, a complete list of local rings up to order 27 with planar extended zero-divisor graphs has been collected. | en_US |
| dc.identifier | 10.1155/2022/4183107 | |
| dc.identifier.citation | Binyamin, M. A., Chaudry, S. A., Abbasi, M. S., Alameri, A., & Mohammadzadeh, A. (2022). On the Planarity of Extended Zero-Divisor Graphs of Local Rings. Mathematical Problems in Engineering, 2022, Article ID 4183107. https://doi.org/10.1155/2022/4183107 | en_US |
| dc.identifier.uri | https://repository.ust.edu.ye/handle/123456789/469 | |
| dc.identifier.uri | https://onlinelibrary.wiley.com/doi/10.1155/2022/4183107 | |
| dc.language.iso | en | |
| dc.publisher | Hindawi | en_US |
| dc.title | On the Planarity of Extended Zero-Divisor Graphs of Local Rings | en_US |
| dc.type | Article | en_US |