Horofunctions of infinite Sierpinski polygon graphs
Combinatorics
2025-08-01 v1 Metric Geometry
Abstract
Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over letters with and , 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.
Cite
@article{arxiv.2507.23681,
title = {Horofunctions of infinite Sierpinski polygon graphs},
author = {Daniele D'Angeli and Francesco Matucci and Davide Perego and Emanuele Rodaro},
journal= {arXiv preprint arXiv:2507.23681},
year = {2025}
}
Comments
16 pages