Use “Sperner’s Lemma” to Split Rent Fairly
Use “Sperner’s Lemma” to Split Rent Fairly
May 27, 2021
lifehacker.com
SOLVED: Section 6.1: Sperner's Lemma in Dimension 3 (a) Consider a tetrahedron T and some subdivision into smaller tetrahedra in the 3-dimensional space, such that each small tetrahedron lies on a face of the big tetrahedron or another small tetrahedron. Let us label the vertices of the small tetrahedra as 1, 2, 3, and 4, in such a way that vertex A1 gets label i, the edge A1A2 only contains vertices labeled i and j, and the face A1A2A3 has only labels i, j, and k. Prove that there exists
SOLVED: Section 6.1: Sperner's Lemma in Dimension 3 (a) Consid…
1 month ago
numerade.com
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Extremal Set Theory: Sperner's Theorem | Probabilistic Methods i…
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mit.edu
Prove that there are only two antichains of S={1,2,3,4,5} of size 10 (10 is maximum by Sperner's theorem), namely, the antichain of all 2-subsets of S and the antichain of all 3 -subsets. | Numerade
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