Self-similar dendrites with finite boundary and P-sprouts
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918534894845952 |
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| author | Tetenov, Andrei Yudin, Ivan Drozdov, Dmitrii |
| author_facet | Tetenov, Andrei Yudin, Ivan Drozdov, Dmitrii |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11833 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Self-similar dendrites with finite boundary and P-sprouts Tetenov, Andrei Yudin, Ivan Drozdov, Dmitrii Metric Geometry Combinatorics 28A80 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. |
| title | Self-similar dendrites with finite boundary and P-sprouts |
| topic | Metric Geometry Combinatorics 28A80 |
| url | https://arxiv.org/abs/2605.11833 |