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

2023/04/30 by Pryshliak, Oleksandr
#37c10 #37c15 #37c20 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #G.1.7

paper · doi:10.48550/arxiv.2305.00519

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.

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