Simplicial Complexes Which Are Minimal Cohen-Macaulay
Let Δ be a (d - 1)-dimensional pure f -simplicial complex over vertex set [n]. In this paper, it is proved that Δ being minimal CM implies d ≥ 3 and n = 2d. It is also indicated that shellable condition on a pure simplicial complex Δ is identical with existence of a full series of CM subcomplexes of Δ.
Authors
- Tongsuo Wu
- Yanyan Wang (ORCID: https://orcid.org/0000-0001-9730-6871)
Publication Details
- Journal
- Journal of Applied Mathematics and Physics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4236/jamp.2025.135110
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00