Geodesic
Extremal properties for triangulation based on empty convex set condition
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 991-997

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We suggest to consider the empty condition for the special family of convex sets. For the given finite set $P\subset \mathbb{R}^n$ we shall say that empty condition for convex set $B\subset \mathbb{R}^n$ is fulfilled if $P\cap B=P\cap \partial B$. This condition is a generalization of the classic Delaunay empty sphere condition. We prove some extremal properties for the corresponding triangulations.
Mots-clés : triangulation, Delaunay triangulation
Keywords: convex set, convex hull, empty sphere condition. 
@article{SEMR_2015_12_a51,
     author = {V. A. Klyachin},
     title = {Extremal properties for triangulation based on empty convex set condition},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {991--997},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a51/}
}
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V. A. Klyachin. Extremal properties for triangulation based on empty convex set condition. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 991-997. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a51/