On generating series of complementary planar trees
Combinatorics
2007-05-23 v1
Abstract
We generalize and reprove an identity of Parker and Loday. It states that certain pairs of generating series associated to pairs of labelled rooted planar trees are mutually inverse under composition.
Keywords
Cite
@article{arxiv.math/0409050,
title = {On generating series of complementary planar trees},
author = {Roland Bacher},
journal= {arXiv preprint arXiv:math/0409050},
year = {2007}
}
Comments
27 pages, 2 figures, contains a discussion of Loday's example (i) (math.CO/0403316, v1). Preprint 649 of the Institut Fourier