Encyclopedia of Combinatorial Polytope Sequences

**
**

Back to big table.

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 ?] |