On generating series of complementary planar trees

Details On generating series of complementary planar trees On generating series of complementary planar trees

2004-09-03

arxiv.org/abs/math/0409050v1

Mathematics

Combinatorics

27 pages, 2 figures, contains a discussion of Loday's example (i) (math.CO/0403316, v1). Preprint 649 of the Institut Fourier

Scientific paper

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.

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