Artículo
Optimal Divisions of a Convex Body
Autor/es | Cañete Martín, Antonio Jesús
Fernández Delgado, Isabel Márquez Pérez, Alberto |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Fecha de publicación | 2023 |
Fecha de depósito | 2024-01-24 |
Publicado en |
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Resumen | For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, min{F(C1),...,F(Cn)}), where F represents one of these classical geometric magnitudes: the ... For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, min{F(C1),...,F(Cn)}), where F represents one of these classical geometric magnitudes: the diameter, the minimal width, or the inradius. In this work we study the divisions of C minimizing (respectively, maximizing) the previous value, as well as other related questions. |
Agencias financiadoras | Ministerio de Ciencia, Innovación y Universidades (MICINN). España Junta de Andalucía |
Identificador del proyecto | PID2020-118180GB-I00
FQM 325 PID2020-118137GB-I00 PID2019-103900GB-I00 PID2019-104129GB-I00/AEI/10.13039/501100011033 |
Cita | Cañete Martín, A.J., Fernández Delgado, I. y Márquez Pérez, A. (2023). Optimal Divisions of a Convex Body. Mathematical Inequalities & Applications, 26 (2), 315-342. https://doi.org/10.7153/mia-2023-26-21. |
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