Iqbal, Z. and Ishaq, M. and Aamir, M. (2018) Depth and Stanley depth of the edge ideals of square paths and square cycles. Communications in Algebra, 46 (3). pp. 1188-1198. ISSN 0092-7872
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Official URL: http://dx.doi.org/10.1080/00927872.2017.1339068
Abstract
In this paper, we compute depth and Stanley depth for the quotient ring of the edge ideal associated to a square path on n vertices. We also compute depth and Stanley depth for the quotient ring of the edge ideal associated to a square cycle on n vertices, when n≡0,3,4(mod 5), and give tight bounds when n≡1,2(mod 5). We also prove a conjecture of Herzog presented in [5], for the edge ideals of square paths and square cycles.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Depth, edge ideal, monomial ideal, square cycle, square path, Stanley decomposition, Stanley depth |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 79789 |
| Deposited By: | Fazli Masari |
| Deposited On: | 28 Jan 2019 06:52 |
| Last Modified: | 28 Jan 2019 06:52 |
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