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math.MG2021★ 4 cited
Covering functionals of convex polytopes with few vertices
Xia Li, Lingxu Meng, Senlin Wu
By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex pol…
math.MG2021
Homothetic covering of convex hulls of compact convex sets
Senlin Wu, Keke Zhang, Chan He
Let be a compact convex set and be a positive integer. The covering functional of with respect to is the smallest such that can be covered by tr…
math.MG2015★ 8 cited
Complete sets need not be reduced in Minkowski spaces
Horst Martini, Senlin Wu
It is well known that in -dimensional Euclidean space () the classes of (diametrically) complete sets and of bodies of constant width coincide. Due to this, they both f…