Experimental study of the Ehrhart interpolation polytope

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dc.contributor.authorFisikopoulos, Vissarion
dc.contributor.authorZafeirakopoulos, Zafeirakis
dc.date.accessioned2025-10-29T12:07:42Z
dc.date.issued2017
dc.departmentGebze Teknik Üniversitesi
dc.description7th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2017 -- Vienna -- 209039
dc.description.abstractIn this paper we define a family of polytopes called Ehrhart Interpolation Polytopes with respect to a given polytope and a parameter corresponding to the dilation of the polytope. We experimentally study the behavior of the number of lattice points in each member of the family, looking for a member with a single lattice point. That single lattice point is the h* vector of the given polytope. Our study is motivated by efficient algorithms for lattice point enumeration. © 2018 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1007/978-3-319-72453-9_26
dc.identifier.endpage324
dc.identifier.isbn9789819698936
dc.identifier.isbn9789819698042
dc.identifier.isbn9789819698110
dc.identifier.isbn9789819698905
dc.identifier.isbn9789819512324
dc.identifier.isbn9783032026019
dc.identifier.isbn9783032008909
dc.identifier.isbn9783031915802
dc.identifier.isbn9789819698141
dc.identifier.isbn9783031984136
dc.identifier.issn1611-3349
dc.identifier.issn0302-9743
dc.identifier.scopus2-s2.0-85039424194
dc.identifier.scopusqualityN/A
dc.identifier.startpage320
dc.identifier.urihttps://doi.org/10.1007/978-3-319-72453-9_26
dc.identifier.urihttps://hdl.handle.net/20.500.14854/14090
dc.identifier.volume10693 LNCS
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Verlag service@springer.de
dc.relation.ispartofLecture Notes in Computer Science
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20251020
dc.subjectTopology
dc.subjectLattice point enumeration
dc.subjectLattice points
dc.subjectPolytopes
dc.subjectInterpolation
dc.titleExperimental study of the Ehrhart interpolation polytope
dc.typeConference Object

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