Work

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

Year: 2023

Type: preprint

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).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2303.07258

Authors: Bilun, Svitlana, Hrechko, Maria, Myshnova, Olena, Prishlyak, Alexandr

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4324299462

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