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Encyclopedia of Combinatorial Polytope Sequences



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Simplex

(4, 0, 0, 0)

Simplices Δ [wiki]
Order polytope O(P) for P the linear order on {1,...,n}. [citeseer](R.Stanley)
Chain polytope C(P) for P the linear order on {1,...,n}. [citeseer](R.Stanley)
Poset associahedra for antichain [arxiv]
Vertex cover polytope of the complete graph VC(K_n) [wiki]
edgeless-graph-associahedra [arxiv] (S. Devadoss)
(n+1)-cycle-graph graphic matroid polytopes [wiki]
Uniform matroid U^n_(n+1) polytope [wiki]
Dimensions:
0, 1, 2, 3, ... n
Number of Vertices in nth polytope:
1, 2, 3, 4, 5, ... n+1 [ OEIS A000027 ]
Numbers of facets in dimension n (starting at n=0):
0, 2, 3, 4, 5, ... n+1 [ OEIS A000027 ]
f-vectors:
1, 2, 1, 3, 3, 1, 4, 6, 4, 1, 5, 10, 10, 5, 1, ... [ OEIS A135278]
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