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Encyclopedia of Combinatorial Polytope Sequences



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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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