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Journal of Convex Analysis 14 (2007), No. 1, 049--068
Copyright Heldermann Verlag 2007



On a Maximization Problem for the Convex Hull of Connected Systems of Segments

Michele Gori
Dip. di Matematica "L. Tonelli", UniversitÓ di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy
michele.gori@unifi.it



Fixed a set of finitely many segments in Rd we look for a connected system of these segments whose convex hull has the greatest d-dimensional volume, solving the problem when d and d+1 segments are considered. Some remarks about the analogous maximization problem on the set of the continuous and rectifiable curves with fixed length are also proposed.

Keywords: Convex hull, system of segments.

MSC: 52A40

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