Frédéric Chapoton - A bijection between shrubs and series-parallel posets

dmtcs:3649 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) - https://doi.org/10.46298/dmtcs.3649
A bijection between shrubs and series-parallel posetsArticle

Authors: Frédéric Chapoton ORCID1

Motivated by the theory of operads, we introduce new combinatorial objects, called shrubs, that generalize forests of rooted trees. We show that the species of shrubs is isomorphic to the species of series-parallel posets.

https://doi.org/10.46298/dmtcs.3649
Source: HAL:hal-01185185v1
Volume: DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: bijection,tree,poset,species,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Algèbres de Hopf combinatoires, opérades et props; Funder: French National Research Agency (ANR); Code: ANR-06-BLAN-0380

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