TITLE:
Simplicial Complexes Which Are Minimal Cohen-Macaulay
AUTHORS:
Yanyan Wang, Tongsuo Wu
KEYWORDS:
Simplicial Complex, Cohen-Macaulay, Pure Shellable, f -Simplicial Complex
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.5,
May
30,
2025
ABSTRACT: 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.