On representation of the Reeb graph as a sub-complex of manifold

DOI10.12775/TMNA.2015.015zbMath1376.57037arXiv1405.4579OpenAlexW262478894MaRDI QIDQ519453

Yong-Cai Geng, Sumit K. Garg

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4579

zbMATH Keywords

critical pointgradient flowReeb graph

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Topological invariants on manifolds (58K65) Critical points and critical submanifolds in differential topology (57R70) Algebraic topology of manifolds (57N65)

Related Items (6)

Loops in Reeb graphs of \(n\)-manifolds ⋮ Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds ⋮ Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface ⋮ Realization of a graph as the Reeb graph of a Morse function on a manifold ⋮ A finite graph is homeomorphic to the Reeb graph of a Morse-Bott function ⋮ Characterizing slope regions

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