The Refined Lives of the F- and H-Vectors of Associahedra

The compositional inversions noted in the Oct. 9-th entry “Flipping Functions with Permutohedra” have counterparts with respect to the associahedra, or Stasheff polytopes. The h-polynomials of the simplicial complexes dual to the associahedra (see the Narayana number triangle OEIS-A001263) can be refined as OEIS-A134264 for the coefficients of an indirect Lagrange method for determining the compositional inverse of a function, whereas the corresponding f-polynomials (see OEIS-A033282) can be refined as the unsigned polynomials in OEIS-A133437 for the coefficients of a Lagrange inversion for an ordinary generating function.

Advertisements
This entry was posted in Math and tagged , , , , , , , , , , , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s