Hopf-algebraic structures of families of trees
Rings and Algebras
2007-11-27 v1 Combinatorics
Abstract
Description of cocommutative Hopf algebras associated with families of trees. Applications include Cayley's theorem on the number of rooted trees with n nodes, and Catalan's theorem on the number of rooted ordered trees with n nodes.
Cite
@article{arxiv.0711.3877,
title = {Hopf-algebraic structures of families of trees},
author = {R. L. Grossman and R. G. Larson},
journal= {arXiv preprint arXiv:0711.3877},
year = {2007}
}
Comments
29 pages