Encyclopedia of Combinatorial Polytope Sequences
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Partial order polytope
(No 3d term.)
• Partial order polytopes P_PO [science direct] (S. Fiorini)
• convex_hull({char_vector_PO | PO a partial order with n elements})
• Dimensions:
0, 2, 6, 12, ... n(n-1)
• Number of Vertices in nth polytope:
1, 3, 19, 219, ... OPEN [ OEIS ?]
• Number of Facets:
0, 3, 17, 128 ... OPEN [ OEIS ?]
• f-vectors:
1, 3, 3, 1, 19, 96, 193, 183, 84, 17, 1, 219, 5791 ... [ OEIS ?]
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