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2013 Hyperbolic Tessellation and Colorings of Trees
Dong Han Kim, Seonhee Lim
Abstr. Appl. Anal. 2013(SI20): 1-6 (2013). DOI: 10.1155/2013/706496


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( 2 ), and the element is a commensurator of Γ if and only if its associated coloring is periodic, generalizing a result of Hedlund and Morse.


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Dong Han Kim. Seonhee Lim. "Hyperbolic Tessellation and Colorings of Trees." Abstr. Appl. Anal. 2013 (SI20) 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095256
MathSciNet: MR3064512
Digital Object Identifier: 10.1155/2013/706496

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI20 • 2013
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