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arXiv · 2303.07258

Structures of optimal discrete gradient vector fields on surface with one or two critical cells

Svitlana Bilun·Maria Hrechko·Olena Myshnova·Alexandr Prishlyak
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Abstract

We describe all possible structures of discrete vector field (discrete Morse functions) with minimal number of critical cells on the regular CW-complex for the 2-disk (1 cell), the 2-sphere (2 cells), the cylinder (2 cells) and Mobius band (2 cells).

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Svitlana Bilun, Maria Hrechko, Olena Myshnova, Alexandr Prishlyak. 2023-03-13. Structures of optimal discrete gradient vector fields on surface with one or two critical cells. https://arxiv.org/abs/2303.07258

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