Horofunctions of infinite Sierpinski polygon graphs
Abstract
Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over r letters with r ≠ 4i and i ∈ 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.
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