Khashyarmanesh, Kazem and Nasernejad, Mehrdad and Asloob Topaçoğlu, Ayesha (2022) On the matroidal path ideals. Journal of Algebra and Its Applications . ISSN 0219-4988 (Print) 1793-6829 (Online) Published Online First https://dx.doi.org/10.1142/S0219498823502274
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Official URL: https://dx.doi.org/10.1142/S0219498823502274
Abstract
In this paper, we prove that the set of all paths of a fixed length in a complete multipartite graph is the bases of a matroid. Moreover, we discuss the Cohen-Macaulayness and depth of powers of t-path ideals of a complete multipartite graph.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | complete multipartite graphs; depth of powers of ideals; matroids; polymatroidal ideals; Veronese ideals |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Ayesha Asloob Topaçoğlu |
| Date Deposited: | 19 Aug 2022 22:49 |
| Last Modified: | 19 Aug 2022 22:49 |
| URI: | https://research.sabanciuniv.edu/id/eprint/44297 |
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