Title : ( On the matroidal path ideals )
Authors: Kazem Khashyarmanesh , Mehrdad Nasernejad , Ayesha Asloob Qureshi ,
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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.
Keywords
Veronese ideals; depth of powers of ideals; matroids; polymatroidal ideals; complete multipartite graphs.
@article{paperid:1096982,
author = {Khashyarmanesh, Kazem and مهرداد ناصر نژاد and الف کورشی},
title = {On the matroidal path ideals},
journal = {Journal of Algebra and its Applications},
year = {2022},
volume = {22},
number = {11},
month = {July},
issn = {0219-4988},
keywords = {Veronese ideals; depth of powers of ideals; matroids; polymatroidal ideals;
complete multipartite graphs.},
}
%0 Journal Article
%T On the matroidal path ideals
%A Khashyarmanesh, Kazem
%A مهرداد ناصر نژاد
%A الف کورشی
%J Journal of Algebra and its Applications
%@ 0219-4988
%D 2022
