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Encyclopedia of Combinatorial Polytope Sequences



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Weak order polytope

(No 3d term.)

Weak order polytopes P_WO [science direct] (S. Fiorini, P. Fishburn)
convex_hull({char_vector_WO | WO a weak order with n elements})
Dimensions:
0, 2, 6, 12, ... n(n-1)
Number of Vertices in nth polytope:
1, 3, 13, 75, ... sum{k=0..inf} (k^n)/(2^(k-1))[ OEIS A000670]
Number of Facets:
0, 3, 15, 106 ... OPEN [ OEIS ?]
f-vectors:
1, 3, 3, 1, 13, ... [ OEIS ?]
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