Injectively $k$-colored rooted forests
Abstract
We enumerate injectively $k$-colored rooted forests with a given number of vertices of each color and a given sequence of root colors. We obtain from this result some new multi-parameter distributions of Fuss-Catalan numbers. As an additional application we enumerate triangulations of regular convex polygons according to their proper 3-coloring type.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2021
- DOI:
- 10.48550/arXiv.2107.13417
- arXiv:
- arXiv:2107.13417
- Bibcode:
- 2021arXiv210713417E
- Keywords:
-
- Mathematics - Combinatorics