Gromov hyperbolicity and convex tessellation graph

被引：0
|
作者：
W. Carballosa
机构：
[1] Florida International University,Department of Mathematics and Statistics
[2] Miami Dade College,Department of Mathematics
来源：
Acta Mathematica Hungarica | 2017年 / 151卷
关键词：
05C10; 05C63; 05C99; hyperbolic graph; tessellation graph; geodesics; periodic graph;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In [7] the following conjecture is stated: every tessellation of the Euclidean plane with convex tiles induces a non-hyperbolic graph. It is natural to think that this statement holds since the Euclidean plane is non-hyperbolic. Furthermore, there are several results supporting this conjecture. However, this work shows that the conjecture is false.
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页码：24 / 34
页数：10
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