Generalizing works of D'Angeli and Donno, we describe, given an infinite sequence over the alphabet {0,…,r−1}, with r not divisible by 4, a sequence of pointed finite graphs. We study the pointed Gromov–Hausdorff limit graphs giving a description of isomorphism classes in terms of dihedral groups and we provide a description of the horofunction boundary, distinguishing between Busemann and non-Busemann points.
Horofunctions of infinite Sierpiński polygon graphs
Rodaro, Emanuele
2026-01-01
Abstract
Generalizing works of D'Angeli and Donno, we describe, given an infinite sequence over the alphabet {0,…,r−1}, with r not divisible by 4, a sequence of pointed finite graphs. We study the pointed Gromov–Hausdorff limit graphs giving a description of isomorphism classes in terms of dihedral groups and we provide a description of the horofunction boundary, distinguishing between Busemann and non-Busemann points.File in questo prodotto:
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