Geodesic
On a Maximization Problem for the Convex Hull of Connected Systems of Segments
Journal of convex analysis, Tome 14 (2007) no. 1, pp. 49-68 Cet article a éte moissonné depuis la source Heldermann Verlag

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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.
Classification : 52A40
Mots-clés : Convex hull, system of segments 
@article{JCA_2007_14_1_JCA_2007_14_1_a4,
     author = {M. Gori},
     title = {On a {Maximization} {Problem} for the {Convex} {Hull} of {Connected} {Systems} of {Segments}},
     journal = {Journal of convex analysis},
     pages = {49--68},
     year = {2007},
     volume = {14},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a4/}
}
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M. Gori. On a Maximization Problem for the Convex Hull of Connected Systems of Segments. Journal of convex analysis, Tome 14 (2007) no. 1, pp. 49-68. http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a4/