Nasernejad, Mehrdad and Asloob Topaçoğlu, Ayesha (2024) Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs. Communications in Algebra, 52 (6). pp. 2328-2345. ISSN 0092-7872 (Print) 1532-4125 (Online)
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Official URL: https://dx.doi.org/10.1080/00927872.2023.2300760
Abstract
In this paper, we unfold balanced and totally balanced neighborhood hypergraphs to discover new classes of normally torsion-free monomial ideals. As a consequence, we establish that the closed neighborhood ideals and the dominating ideals of strongly chordal graphs are normally torsion-free. We discuss the stable sets of associated primes of the dominating ideals of cycles and characterize all the cycles with normally torsion-free dominating ideals.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Closed neighborhood ideals; cycles; dominating ideals; normally torsion-freeness; strongly chordal graphs |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 07 Jun 2024 21:28 |
| Last Modified: | 07 Jun 2024 21:28 |
| URI: | https://research.sabanciuniv.edu/id/eprint/49028 |
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