Drapeability
type: Item
instance of: scholarly article
title: Drapeability
zbMATH Open document ID: 1091.52002
author: John M. Maki
author: John E. Wetzel
author: Wacharin Wichiramala
published in: Discrete \& Computational Geometry
publication date: 2006-03-02T00:00:00Z
review text: The convex arcs are generally more easily dealt with then non-convex ones when investigating covering problems for arcs of unit length. A convex arc \(d\), with distinct endpoints \(P\) and \(Q\), is said to be a drape if it lies in a closed semi-infinite strip bounded by the endpoints line segment \(PQ\) and the rays perpendicular to \(PQ\) at the endpoints \(P\) and \(Q\). An arc is drapeable if it lies in the convex hull of some drape having a smaller length. The drapeability of the centrally symmetric Z-shaped arcs is studied. Also, few other particular types of Z-shaped arcs are discussed from this point of view. Two other classes of drapeable arcs are emphasized: the wrapped arcs and the unilateral arcs. Some fundamental properties of the drapeability are discussed, deriving sufficient conditions for an arc to be drapeable.
reviewed by: Gabriela Cristescu
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 51M99
zbMATH DE Number: 5009617
zbMATH Keywords: convex cover
zbMATH Keywords: drape
zbMATH Keywords: drapeable arc
zbMATH Keywords: unilateral arc
zbMATH Keywords: wrapped arc
zbMATH Keywords: Z-shaped arc
MaRDI profile type: Publication
full work available at URL: s00454-005-1189-8
OpenAlex ID: W4252601626
DOI: 10.1007/S00454-005-1189-8
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description: scientific article; zbMATH DE number 5009617