English

Planar graphs as distinguished graph of Morse flows on the 2-disk

Combinatorics 2023-05-02 v1 Dynamical Systems

Abstract

To investigate the topological structure of Morse flows on the 2-disk we use the planar graphs as destinguished graph of the flow. We assume, that the flow is transversal to the boundary of the 2-disk. We give a list of all planar graph with at least 3 edges and describe all planar graphs with 4 edges. We use a list of spherical graph with at least 4 edges.

Keywords

Cite

@article{arxiv.2305.00519,
  title  = {Planar graphs as distinguished graph of Morse flows on the 2-disk},
  author = {Oleksandr Pryshliak},
  journal= {arXiv preprint arXiv:2305.00519},
  year   = {2023}
}

Comments

9 pages, 7 figures

R2 v1 2026-06-28T10:21:59.587Z