Hyperbolic Tessellation and Colorings of Trees

Dong Han Kim and Seonhee Lim

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

Abstract:

We study colorings of a tree induced from isometries of the hyperbolic plane given an ideal tessellation. We show that, for a given tessellation of the hyperbolic plane by ideal polygons, a coloring can be associated with any element of Isom( ), and the element is a commensurator of if and only if its associated coloring is periodic, generalizing a result of Hedlund and Morse.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:706496

DOI: 10.1155/2013/706496

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