Fixed a set of finitely many segments in R-d 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.
On a maximization problem for the convex hull of connected systems of segments / M. GORI. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 14:(2007), pp. 49-68.
On a maximization problem for the convex hull of connected systems of segments
GORI, MICHELE
2007
Abstract
Fixed a set of finitely many segments in R-d 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.
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