Full binary trees, Narayana numbers and two-dimensional decompositions of integers

Giacomo Aletti; Antonio Daziario

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arXiv · 1412.1381

Full binary trees, Narayana numbers and two-dimensional decompositions of integers

Giacomo Aletti·Antonio Daziario

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Abstract

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.

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Giacomo Aletti, Antonio Daziario. 2014-12-03. Full binary trees, Narayana numbers and two-dimensional decompositions of integers. https://arxiv.org/abs/1412.1381

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