Structures of optimal discrete gradient vector fields on surface with one or two critical cells
Dynamical Systems
2023-03-14 v1 Geometric Topology
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).
Keywords
Cite
@article{arxiv.2303.07258,
title = {Structures of optimal discrete gradient vector fields on surface with one or two critical cells},
author = {Svitlana Bilun and Maria Hrechko and Olena Myshnova and Alexandr Prishlyak},
journal= {arXiv preprint arXiv:2303.07258},
year = {2023}
}
Comments
8 pages, 5 figures