Email this article Discrete Morse Theory for the Barycentric Subdivision
- Authors: Zhukova A.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 232, No 2 (2018)
- Pages: 129-137
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241276
- DOI: https://doi.org/10.1007/s10958-018-3863-4
- ID: 241276
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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 simplices and the same gradient path structure.
About the authors
A. Zhukova
St.Petersburg State University
Author for correspondence.
Email: millionnaya13@yandex.ru
Russian Federation, St.Petersburg
