2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64847The theme of this article is the algebraic combinatorics of leaf-labeled rooted binary trees and forests of such trees. 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.19 pages, 8 figuresCombinatorics18D50 (Primary) 05C05, 06A07 (Secondary)text