Publication:
On a characterization of lattice cubes via discrete isoperimetric inequalities

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Date
2023-01-27
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Authors
Lucas Marín, Eduardo ; Iglesias López, David
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Publisher
Electronic Journal of Combinatorics
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Matemáticas
DOI
https://doi.org/10.37236/11024
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info:eu-repo/semantics/article
Description
Abstract
We obtain a characterization of lattice cubes as the only sets that reach equality in several discrete isoperimetric-type inequalities associated with the L∞ norm, including well-known results by Radcliffe and Veomett. We furthermore provide a new isoperimetric inequality for the lattice point enumerator that generalizes previous results, and for which the aforementioned characterization also holds.
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Citation
Iglesias, D., & Lucas, E. (2023). On a Characterization of Lattice Cubes via Discrete Isoperimetric Inequalities. The Electronic Journal of Combinatorics, 30(1), #P1.21. https://doi.org/10.37236/11024
URI
http://hdl.handle.net/10201/214541
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