Self-similar dendrites with finite boundary and P-sprouts

Andrei Tetenov; Ivan Yudin; Dmitrii Drozdov

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arXiv · 2605.11833

Self-similar dendrites with finite boundary and P-sprouts

Andrei Tetenov·Ivan Yudin·Dmitrii Drozdov

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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.

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Andrei Tetenov, Ivan Yudin, Dmitrii Drozdov. 2026-06-26. Self-similar dendrites with finite boundary and P-sprouts. https://arxiv.org/abs/2605.11833

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