A case when the union of polytopes is convex
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Date
2005-03-01
Publication Type
Journal Article
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yes
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Abstract
We present a necessary and sufficient condition for the union of a finite number of convex polytopes in ℝd to be convex. This generalises two theorems on convexity of the union of convex polytopes due to Bemporad et al.
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published
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Journal / series
Volume
397
Pages / Article No.
381 - 388
Publisher
Elsevier
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Edition / version
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Subject
Convex polytopes; Union; Convexity characterization; The colourful Caratheodory theorem
Organisational unit
03391 - Lüthi, Hans-Jakob (emeritus)
03457 - Welzl, Emo (emeritus) / Welzl, Emo (emeritus)