2005/12/04 by Ed Swartz, E. Swartz, Swartz, E.
Computer Science · Mathematics · #05E25 #13F55 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis #math.AC #math.CO #msc:05E25 #msc:13F55
paper · pdf · doi:10.48550/arxiv.math/0512086
To appear in JCT A. 20 pages
arxiv created 2005/12/04 · openalex publication_date 2005/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main result is a proof that the g-vector of a simplicial complex with a convex ear decomposition is an M-vector. This is a generalization of similar results for matroid complexes. We also show that a finite building has a convex ear decomposition. This leads to connections between higher Cohen-Macaulay connectivity and increasing h-vectors.