On the matroidal path ideals
Commutative Algebra
2022-07-26 v2 Combinatorics
Abstract
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 -path ideals of a complete multipartite graph.
Keywords
Cite
@article{arxiv.2105.05910,
title = {On the matroidal path ideals},
author = {Mehrdad Nasernejad and Kazem Khashyarmanesh and Ayesha Asloob Qureshi},
journal= {arXiv preprint arXiv:2105.05910},
year = {2022}
}
Comments
This paper has been published in Journal of Algebra and Its Applications