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Linear signed order polytope
 (No 3d term) [polymake for n=2] |
• Linear signed ordering polytopes Q [science direct] (S. Fiorini, P. Fishburn) • convex_hull({char_vector_SLO | SLO a signed linear order with 2n elements}) |
• Dimensions: 0, 1, 4, 9, 16, ... n^2 • Number of Vertices in nth polytope: 1, 2, 8, 48, 384 ... 2^n*n!=(2n)!! [ OEIS A000165] • Number of Facets: 0, 2, 16, 82, 8480, ... OPEN [ OEIS ?] • f-vectors: 1, 2, 1, 8, 24, 32, 16, 1 ... [ OEIS ?] |
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