On generating series of complementary planar trees
组合数学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0409050,
title = {On generating series of complementary planar trees},
author = {Roland Bacher},
journal= {arXiv preprint arXiv:math/0409050},
year = {2007}
}
备注
27 pages, 2 figures, contains a discussion of Loday's example (i) (math.CO/0403316, v1). Preprint 649 of the Institut Fourier