Mathematics > Metric Geometry
arXiv:2605.11833 (math)
[Submitted on 12 May 2026 (v1), last revised 26 Jun 2026 (this version, v3)]
Abstract:Each self-similar dendrite K with a finite self-similar boundary defines a finite acyclic edge-labeled bipartite graph G, called the sprout of K. The paper shows that the sprout G determines the combinatorial properties of the dendrite K and its topological structure.
Submission history
From: Andrei V. Tetenov [view email]
[v1]
Tue, 12 May 2026 09:21:42 UTC (4,221 KB)
[v2]
Mon, 1 Jun 2026 09:56:47 UTC (3,376 KB)
[v3]
Fri, 26 Jun 2026 07:52:00 UTC (4,512 KB)
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