The maximum relative diameter for multi-rotationally symmetric planar convex bodies
In this work we study the maximum relative diameter functional dM in the class of multi-rotationally symmetric planar convex bodies. A given set C of this class is k-rotationally symmetric for k 2 {k1, . . . , kn} N, and so it is natural to consider the standard ki-partition Pki associated to C (whi...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/89851 |
| Acceso en línea: | https://hdl.handle.net/11441/89851 https://doi.org/10.7153/mia-19-25 |
| Access Level: | acceso abierto |
| Palabra clave: | k-rotationally symmetric planar convex body Maximum relative diameter |
| Sumario: | In this work we study the maximum relative diameter functional dM in the class of multi-rotationally symmetric planar convex bodies. A given set C of this class is k-rotationally symmetric for k 2 {k1, . . . , kn} N, and so it is natural to consider the standard ki-partition Pki associated to C (which is a minimizing ki-partition for dM when ki > 3) and the corresponding value dM(Pki ). We establish the relation among these values, characterizing the particular sets for which all these values coincide. |
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