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Discrete Morse Functions from Fourier Transforms
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2009 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 18, no 1, 45-53 p.Article in journal (Refereed) Published
Abstract [en]

A discrete Morse function on a simplicial complex describes how to construct a homotopy-equivalent CW-complex with possibly fewer cells. We associate a Boolean function with a given simplicial complex and construct a discrete Morse function using its Fourier transform. Methods from theoretical computer science by O'Donnell, Saks, Schramm, and Servedio, together with experimental data on complexes from Hachimori's library and on chessboard complexes, provide some evidence that the constructed discrete Morse functions are efficient.

Place, publisher, year, edition, pages
2009. Vol. 18, no 1, 45-53 p.
Keyword [en]
Discrete Morse theory, Fourier transforms, simplicial complexes, Boolean functions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-32215DOI: 10.1080/10586458.2009.10128886ISI: 000265288200003Scopus ID: 2-s2.0-67649116296OAI: oai:DiVA.org:kth-32215DiVA: diva2:409839
Note
QC 20110411Available from: 2011-04-11 Created: 2011-04-11 Last updated: 2017-12-11Bibliographically approved

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