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Gromov hyperbolicity of periodic planar graphs |
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| Authors: | Alicia Cantón Ana Granados Domingo Pestana José Manuel Rodríguez |
| Institution: | 1. Departamento de Ciencias Aplicadas a la Ingeniería Naval, ETSIN, Universidad Politécnica de Madrid, Avenida Arco de la Victoria, 4, Ciudad Universitaria, 28040, Madrid, Spain 2. Mathematics Division, St. Louis University (Madrid Campus), Avenida del Valle 34, 28003, Madrid, Spain 3. Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganés, Madrid, Spain |
| Abstract: | 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. |
| Keywords: | Planar graphs periodic graphs Gromov hyperbolicity infinite graphs geodesics |
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