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Hyperbolic Tessellation and Colorings of Trees
被引:2
|作者:
Kim, Dong Han
[1
]
Lim, Seonhee
[2
]
机构:
[1] Dongguk Univ Seoul, Dept Math Educ, Seoul 100715, South Korea
[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
关键词:
D O I:
10.1155/2013/706496
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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(H-2), and the element is a commensurator of G if and only if its associated coloring is periodic, generalizing a result of Hedlund and Morse.
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页数:6
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