Sascha Kurz
Published 2007-02-26Version 1
In 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.
Comments: 13 pages, 10 figures
Sign matrix polytopes from Young tableaux
On the convex hull of integer points above the hyperbola
Sumsets and the convex hull
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