Convex hulls of polyominoes

dc.creatorKurz, Sascha
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:51Z
dc.date.available2026-07-07T07:48:51Z
dc.descriptionIn this article we prove a conjecture of Bezdek, Brass, and Harborth concerning the maximum volume of the convex hull of any facet-to-facet connected system of n unit hypercubes in the d-dimensional Euclidean space. For d=2 we enumerate the extremal polyominoes and determine the set of possible areas of the convex hull for each n.
dc.description13 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0702786
dc.identifierhttp://arxiv.org/abs/math/0702786
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124642
dc.subjectCombinatorics
dc.subject05B50; 05D99; 52C99
dc.titleConvex hulls of polyominoes
dc.typetext

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