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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| Main Author | |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
16.05.2016
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| Online Access | Get full text |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Zhukova, A. M |
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| BackLink | https://doi.org/10.48550/arXiv.1605.04751$$DView paper in arXiv |
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| Snippet | Let $F$ be a discrete Morse function on a simplicial complex $L$. We
construct a discrete Morse function $\Delta(F)$ on the barycentric subdivision... |
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| Title | Discrete Morse theory for the barycentric subdivision |
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