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The Covering Radius and a Discrete Surface Area for Non-Hollow Simplices

We explore upper bounds on the covering radius of non-hollow lattice polytopes. In particular, we conjecture a general upper bound of d/2 in dimension d, achieved by the “standard terminal simplices” and direct sums of them. We prove this conjecture up to dimension three and show it to be equivalent...

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Detalles Bibliográficos
Autores principales: Codenotti, Giulia, Santos, Francisco, Schymura, Matthias
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8709830/
https://www.ncbi.nlm.nih.gov/pubmed/35023883
http://dx.doi.org/10.1007/s00454-021-00330-3