Discrete Morse theory for the barycentric subdivision

Let $F$ be a discrete Morse function on a simplicial complex $L$. We construct a discrete Morse function $\Delta(F)$ on the barycentric subdivision $\Delta(L)$. The constructed function $\Delta(F)$ "behaves the same way" as $F$, i. e. has the same number of critical simplexes and the same...

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Bibliographic Details
Main Author Zhukova, A. M
Format Journal Article
LanguageEnglish
Published 16.05.2016
Subjects
Mathematics - Algebraic Topology
Mathematics - Combinatorics
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Summary:Let $F$ be a discrete Morse function on a simplicial complex $L$. We construct a discrete Morse function $\Delta(F)$ on the barycentric subdivision $\Delta(L)$. The constructed function $\Delta(F)$ "behaves the same way" as $F$, i. e. has the same number of critical simplexes and the same gradient path structure.
DOI:10.48550/arxiv.1605.04751