• Article

      Hopf algebras on planar trees and permutations (2021) 

      Arcis, Diego; Márquez, Sebastián (World Scientific, 2021)
      We endow the space of rooted planar trees with the structure of a Hopf algebra. We prove that variations of such a structure lead to Hopf algebras on the spaces of labeled trees, n-Trees, increasing planar trees and sorted ...