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Artículo
Counting excellent discrete Morse functions on compact orientable surfaces
(Universidad de Sevilla, 2010)
We obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.
Artículo
Perfect discrete Morse functions on 2-complexes
(Universidad de Sevilla, 2010)
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. These are those discrete Morse functions such that the number of critical i-simplices coincides with the i-th Betti number ...