Quadratically Many Colorful Simplices
نویسندگان
چکیده
منابع مشابه
Quadratically Many Colorful Simplices
The colorful Carathéodory theorem asserts that if X1, X2, . . . , Xd+1 are sets in R, each containing the origin 0 in its convex hull, then exists a set S ⊆ X1 ∪ · · · ∪ Xd+1 with |S ∩ Xi| = 1 for all i = 1, 2, . . . , d + 1 and 0 ∈ conv(S) (we call conv(S) a colorful covering simplex). Deza, Huang, Stephen and Terlaky proved that if the Xi are in general position with respect to 0 (consequentl...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2007
ISSN: 0895-4801,1095-7146
DOI: 10.1137/050643039