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", Università 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
[ Fulltext-pdf (232 KB)] for subscribers only.