On the matroidal path ideals

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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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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