Geodesic
A Hopf operad of forests of binary trees and related finite-dimensional algebras
Journal of Algebraic Combinatorics, Tome 20 (2004) no. 3, pp. 311-330.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The structure of a Hopf operad is defined on the vector spaces spanned by forests of leaf-labeled, rooted, binary trees. An explicit formula for the coproduct and its dual product is given, using a poset on forests.
Keywords: Hopf operad, binary tree, poset 
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     title = {A {Hopf} operad of forests of binary trees and related finite-dimensional algebras},
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Chapoton, Frédéric. A Hopf operad of forests of binary trees and related finite-dimensional algebras. Journal of Algebraic Combinatorics, Tome 20 (2004) no. 3, pp. 311-330. http://geodesic.mathdoc.fr/item/JAC_2004__20_3_a4/