2004/11/10 by Andrey O. Matveev, Matveev, Andrey O.
Computer Science · Mathematics · #13F55 #15A99 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation #Topological and Geometric Data Analysis #math.CO #msc:13F55 #msc:15A99
paper · pdf · doi:10.48550/arxiv.math/0411240
12 pages
arxiv created 2004/11/10 · openalex publication_date 2004/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider redundant analogues of the f- and h-vectors of simplicial complexes and present bases of Rm+1 related to these ``long'' f- and h-vectors describing the face systems from 21,...,m; we list the corresponding change of basis matrices. The representations of the long f- and h-vectors of a face system with respect to various bases are expressed based on partitions of the system into Boolean intervals.