Published January 1, 2022 | Version v1
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On the matroidal path ideals

  • 1. Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159-91775, Mashhad, Iran
  • 2. Sabanci Univ, Fac Engn & Nat Sci Orta Mahalle, TR-34956 Istanbul, Turkey

Description

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.

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