2010/10/11 by Jonathan Browder, Browder, Jonathan
Mathematics · #05E45 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1010.2253
openalex publication_date 2010/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that if a d-dimensional Cohen-Macaulay complex is, in a certain sense, sufficiently "close" to being balanced, then there is a d-dimensional balanced Cohen-Macaulay complex having the same f-vector. This in turn provides some partial evidence for a conjecture of Kalai on the f-vectors of Cohen-Macaulay flag complexes.