2021/03/30 by Yanyan Wang, Wang, Yanyan, Tongsuo Wu +1
Computer Science · Mathematics · #13B25 #Advanced Combinatorial Mathematics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2103.16078
openalex publication_date 2021/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let \D be a (d-1)-dimensional pure f-simplicial complex over vertex set [n]. In this paper, it is proved that n=2d holds true if \D is minimal Cohen-Macaulay. It is also indicated that the recent work of \citeDao2020 implies that shellable condition on a pure simplicial complex \D is identical with CM properties of a full series of subcomplexes of \D.