cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A364441 Number of facets of the balanced minimum evolution polytope on n species.

Original entry on oeis.org

3, 52, 90262
Offset: 4

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Author

Harry Richman, Jul 24 2023

Keywords

Comments

The balanced minimum evolution (BME) polytope of order n is a polytope in binomial(n, 2)-dimensional space whose vertices are indexed by bifurcating phylogenetic trees on n species. The coordinates of the ambient space are indexed by pairs (i, j) of distinct species, and at a vertex corresponding to tree T, the value at coordinate (i, j) is equal to 2^-k(i, j) where k(i, j) is the number of internal nodes on the path from i to j in T.

Crossrefs

Cf. A364505.
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