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arXiv · 1605.04751

Discrete Morse theory for the barycentric subdivision

A. M Zhukova
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Abstract

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.

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A. M Zhukova. 2016-05-16. Discrete Morse theory for the barycentric subdivision. https://arxiv.org/abs/1605.04751

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