Gromov Hyperbolicity of Periodic Planar Graphs

Gromov Hyperbolicity of Periodic Planar Graphs

The study of hyperbolic graphs is an interesting topic since the hyperbolicity of a geodesic metric space is equivalent to the hyperbolicity of a graph related to it.The main result in this paper is a very simple characterization of the hyperbolicity of a large class of periodic planar graphs.

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Veröffentlicht in:Acta mathematica Sinica. English series 2014, Vol.30 (1), p.79-90
Hauptverfasser: Cantón, Alicia, Granados, Ana, Pestana, Domingo, Rodríguez, José Manuel
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Euclidean space
Graphs
Mathematical models
Mathematics
Mathematics and Statistics
Metric space
Studies
Theorems
双曲性
周期性
平面图形
度量空间
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Zusammenfassung:The study of hyperbolic graphs is an interesting topic since the hyperbolicity of a geodesic metric space is equivalent to the hyperbolicity of a graph related to it.The main result in this paper is a very simple characterization of the hyperbolicity of a large class of periodic planar graphs.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2370-2