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On a characterization of lattice cubes via discrete isoperimetric inequalities

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dc.contributor.authorLucas Marín, Eduardo
dc.contributor.authorIglesias López, David
dc.contributor.departmentMatemáticas
dc.date.accessioned2026-02-26T11:39:29Z
dc.date.available2026-02-26T11:39:29Z
dc.date.copyright© 2022 The authors
dc.date.issued2023-01-27
dc.description.abstractWe 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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dc.identifier.citationIglesias, 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
dc.identifier.doihttps://doi.org/10.37236/11024
dc.identifier.urihttp://hdl.handle.net/10201/214541
dc.languageeng
dc.publisherElectronic Journal of Combinatorics
dc.relation∗This research is part of the grant PID2021-124157NB-I00, funded by MCIN/AEI/10.13039/501100011033/ “ERDF A way of making Europe
dc.relation.publisherversionhttps://www.combinatorics.org/ojs/index.php/eljc/article/view/v30i1p21
dc.rightsAttribution-NoDerivatives 4.0 International*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nd/4.0/*
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleOn a characterization of lattice cubes via discrete isoperimetric inequalities
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
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relation.isAuthorOfPublication.latestForDiscovery7d0c0432-8cc5-4e36-b1cb-31aeaca3f80c
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