Full binary trees, Narayana numbers and two-dimensional decompositions   of integers
  We present two models of multitype Galton-Watson trees, that we call full binary trees and full binary trees with survivals. We show relevant relations between these trees and the Narayana numbers and the two-dimensional decompositions of integers. We prove further statistical results on our models concerning the related contour processes and offspring distributions. 
Giacomo Aletti, Antonio Daziario
math.PR