This page is an entry in an

Encyclopedia of Combinatorial Polytope Sequences



Back to big table.

Balanced Minimal Evolution Polytope

(No 3d term.)
[polymake for n=5,6]
[faces and facets](2 page pdf.)

BME polytopes P_n [arxiv] (D. Haws, T. Hodge, R. Yoshida)[almob](Eickmeyer et. al.)[blog resources][conference slides](R. Yoshida)[facets:preprint]
convex_hull({dist_vector_T | T a binary tree with n labeled leaves})
Dimensions (start n =3):
0, 2, 5, 9, 14 ... (n choose 2)-n
Number of Vertices in nth polytope:
1, 3, 15, 105, ... (2n-5)!! [ OEIS A001147][see: i]
Number of Facets:
0, 3, 52, 90262... OPEN [ OEIS ?]
f-vectors:
1, 3, 3, 1, 15, 105, 250, 210, 52, 1, 105, 5460... [ OEIS ?]
top    index