Nasernejad, Mehrdad and Asloob Topaçoğlu, Ayesha and Bandari, Somayeh and Tuğcuoğlu Musapaşaoğlu, Aslı (2022) Dominating ideals and closed neighborhood ideals of graphs. Mediterranean Journal of Mathematics, 19 (4). ISSN 1660-5446 (Print) 1660-5454 (Online)
Full text not available from this repository. (Request a copy)
Official URL: http://dx.doi.org/10.1007/s00009-022-02107-1
Abstract
We study the closed neighborhood ideals and the dominating ideals of graphs, in particular, some classes of trees and cycles. We prove that the closed neighborhood ideals and the dominating ideals of some classes of trees are normally torsion free. The closed neighborhood ideals and the dominating ideals of cycles fail to be normally torsion free. However, we prove that the closed neighborhood ideals of cycles admit the (strong) persistance property and the dominating ideals of cycles are nearly normally torsion free.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Closed neighborhood ideals; dominating ideals; trees; cycles; normality; normally torsion-freeness |
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 06 Jul 2022 15:06 |
| Last Modified: | 21 Aug 2022 20:59 |
| URI: | https://research.sabanciuniv.edu/id/eprint/42972 |
Actions (login required)
- View Item