Mathematical Properties of the Hyperbolicity of Circulant Networks
The first works on Gromov hyperbolic spaces deal with finitely generated groups. Initially, Gromov spaces were applied to the study of automatic groups in the science of computation; indeed, hyperbolic groups are strongly geodesically automatic; that is, there is an automatic structure on the group....
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | México |
| Recursos: | Universidad Autónoma de Guerrero |
| Repositorio: | Repositorio Institucional de Ciencia Abierta de la Universidad Autónoma de Guerrero |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.uagro.mx:uagro/836 |
| Acesso em linha: | http://ri.uagro.mx/handle/uagro/836 http://dx.doi.org/10.1155/2015/723451 |
| Access Level: | acceso abierto |
| Palavra-chave: | CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA::MATEMÁTICAS |
| Resumo: | The first works on Gromov hyperbolic spaces deal with finitely generated groups. Initially, Gromov spaces were applied to the study of automatic groups in the science of computation; indeed, hyperbolic groups are strongly geodesically automatic; that is, there is an automatic structure on the group. Besides, hierarchical networks have been found to have hidden hyperbolic structure. Forastudyofotherparametersincomplexnetworks,see. The concept of hyperbolicity appears also in discrete mathematics, algorithms, and networking. For example, it has been shown empirically in that the Internet topology embeds with better accuracy into a hyperbolic space tan into an Euclidean space of comparable dimension; the same holds for many complex networks. |
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