Bounding Faces of a Convex Set related to Permutations

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  • Bounding Faces of a Convex Set related

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説明

A chain is a family of subsets {A_0,A_1,..., A_r} with A_<i-1>⊂A_i of U={1,2,..., n}. Let P be the convex hull of the points having as their coordinates the integers 1,2,..., n arranged in some order. Then a correspondence between the chains with A_0=φ, A_r=U and the bounding faces of P is obtained.

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