2016/05/16 by Alena Zhukova, Zhukova, A. M
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Digital Image Processing Techniques #FOS: Mathematics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1605.04751
openalex publication_date 2016/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let F be a discrete Morse function on a simplicial complex L. We construct a discrete Morse function Δ(F) on the barycentric subdivision Δ(L). The constructed function Δ(F) "behaves the same way" as F, i. e. has the same number of critical simplexes and the same gradient path structure.