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Splitohedron
 (No 3d term.) [polymake for n=5,6] [MatLab code for running PolySplit] [also need matrix generator] [and branch and bound algorithm] [and distance algorithm] [and RF-metric algorithm] |
• Splitohedra Sp_n [arxiv] (S. Forcey, L. Keefe, W. Sands) • relaxation of the Balanced Minimum Evolution Polytope BME(n). • intersection of half-spaces{split-facets, intersecting cherry faces, caterpillar facets and the cherry clade-faces} from BME(n) and also obeying the {Kraft equalities}. |
• Dimensions (start n =3): 0, 2, 5, 9, 14 ... (n choose 2)-n • Number of Vertices in nth polytope: 1, 3, 27, 2335, ... OPEN [ OEIS ?] • Number of Facets: 0, 3, 40, 85 ... OPEN [ OEIS ?] • f-vectors: 1, 3, 3, 1, 27, 165, 310, 210, 40, 1, 2335, ... [ OEIS ?] |
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