2010/05/22 by Christina Savvidou, Savvidou, Christina · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1005.4156
openalex publication_date 2010/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The cubical barycentric subdivision sdc(K) of a cubical complex K is introduced as an analogue of the barycentric subdivision of a simplicial complex. Explicit formulas for the short and long cubical h-vector of sdc(K) are given, in terms of those of K. It is deduced that symmetry and nonnegativity of these h-vectors, as well as real rootedness of the short cubical h-polynomial, are preserved under cubical barycentric subdivision. The asymptotic behavior of the short and long cubical h-vectors of successive cubical barycentric subdivisions of K is also determined.