Planar trees as complete topological invariants of Morse flows with a sink on the 2-sphere

2023/05/02 by Oleksandr Pryshliak, Pryshliak, Oleksandr
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2305.01347

Abstract

To investigate the topological structure of Morse flows with a sink on the 2-sphere we use the planar tree as complete topological invariant of the flow. We give a list of all planar tree with at least 7 edges. We use a list of rooted planar trees.

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