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Encyclopedia of Combinatorial Polytope Sequences


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Tutte Polytope

(2, 5, 0, 0)
[polymake for 3D]
  • Tutte Polytopes T_i [arxiv] (Konvalinka, Pak)
  • Volumes equal evaluated Tutte polynomials of complete graphs.
  • Dimensions:
    1, 2, 3, 4, ... n
  • Number of Vertices in nth polytope:
    2, 4, 8, 16, 32, ... 2^n [ OEIS A000079]
  • Number of Facets:
    2, 4, 7, 11, 16, 22, 29, ... (n+1)n/2 + 1 [ OEIS A000124]
  • f-vectors:
    1, 2, 1, 4, 4, 1, 8, 13, 7, 1, 16, 37, 32, 11, 1, ... [ OEIS ?]
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