2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142813Description of cocommutative Hopf algebras associated with families of trees. Applications include Cayley's theorem on the number of rooted trees with n nodes, and Catalan's theorem on the number of rooted ordered trees with n nodes.29 pagesRings and AlgebrasCombinatorics16W30Hopf-algebraic structures of families of treestext