Simplicial Complexes Which Are Minimal Cohen-Macaulay

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.

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Wang, Y. and Wu, T. (2025) Simplicial Complexes Which Are Minimal Cohen-Macaulay. Journal of Applied Mathematics and Physics, 13, 1969-1981. doi: 10.4236/jamp.2025.135110.

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

References

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