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 a...

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Bibliographic Details
Published inarXiv.org
Main Author Zhukova, A M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 16.05.2016
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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.
ISSN:2331-8422