Injectively $k$-colored rooted forests
Combinatorics
2021-07-29 v1
Abstract
We enumerate injectively -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.
Keywords
Cite
@article{arxiv.2107.13417,
title = {Injectively $k$-colored rooted forests},
author = {Thomas Einolf and Robert Muth and Jeffrey Wilkinson},
journal= {arXiv preprint arXiv:2107.13417},
year = {2021}
}