Inversion of integral series enumerating planar trees

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dc.creatorLoday, Jean-Louis
dc.date2004-03-19
dc.date2004-09-10
dc.date.accessioned2026-07-07T06:27:45Z
dc.date.available2026-07-07T06:27:45Z
dc.descriptionWe consider an integral series f(X,t) which depends on the choice of a set X of labelled planar rooted trees. We prove that its inverse for composition is of the form f(Z,t) for another set Z of trees, deduced from X. The proof is self-contained, though inspired by the Koszul duality theory of quadratic operads.
dc.descriptionMinor modifications and reference to further work
dc.identifierhttps://arxiv.org/abs/math/0403316
dc.identifierhttp://arxiv.org/abs/math/0403316
dc.identifierSém. Lothar. Combin. 53 (2004/05), Art. B53d, 16 pp.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97502
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subject05A15; 13F25; 18D50
dc.titleInversion of integral series enumerating planar trees
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