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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 462, Pages 52–64 (Mi znsl6496)  
Discrete Morse theory for the barycentric subdivision

A. Zhukova

St. Petersburg State University, St. Petersburg, Russia
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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 simplices and the same gradient path structure.
Key words and phrases: simplicial complexes, discrete Morse theory.
Funding agency Grant number
Russian Science Foundation 16-11-10039
This work is supported by the Russian Science Foundation, grant 16-11-10039. The author is a~Young Russian Mathematics award winner and would like to thank its sponsors and jury.
Received: 16.08.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 2, Pages 129–137
DOI: https://doi.org/10.1007/s10958-018-3863-4
Bibliographic databases:
Document Type: Article
UDC: 515.142.332
Language: English
Citation: A. Zhukova, “Discrete Morse theory for the barycentric subdivision”, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Zap. Nauchn. Sem. POMI, 462, POMI, St. Petersburg, 2017, 52–64; J. Math. Sci. (N. Y.), 232:2 (2018), 129–137
Citation in format AMSBIB
\Bibitem{Zhu17}
\by A.~Zhukova
\paper Discrete Morse theory for the barycentric subdivision
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 462
\pages 52--64
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6496}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 2
\pages 129--137
\crossref{https://doi.org/10.1007/s10958-018-3863-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047390834}
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