Horofunctions of infinite Sierpinski polygon graphs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911085822476288 |
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| author | D'Angeli, Daniele Matucci, Francesco Perego, Davide Rodaro, Emanuele |
| author_facet | D'Angeli, Daniele Matucci, Francesco Perego, Davide Rodaro, Emanuele |
| contents | Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over $r$ letters with $r \neq 4i$ and $i \in \mathbb{N}$, a sequence of pointed finite graphs. We study the pointed Gromov-Hausdorff limit graphs giving a description of isomorphim classes in terms of dihedral groups and providing insights on the horofunction boundaries in terms of Busemann and non-Busemann points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23681 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Horofunctions of infinite Sierpinski polygon graphs D'Angeli, Daniele Matucci, Francesco Perego, Davide Rodaro, Emanuele Combinatorics Metric Geometry Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over $r$ letters with $r \neq 4i$ and $i \in \mathbb{N}$, a sequence of pointed finite graphs. We study the pointed Gromov-Hausdorff limit graphs giving a description of isomorphim classes in terms of dihedral groups and providing insights on the horofunction boundaries in terms of Busemann and non-Busemann points. |
| title | Horofunctions of infinite Sierpinski polygon graphs |
| topic | Combinatorics Metric Geometry |
| url | https://arxiv.org/abs/2507.23681 |