English

On The Joint Normality of Certain Statistics on Ordered Trees

Combinatorics 2018-11-19 v2

Abstract

We develop algorithms, implemented in Maple, that study the number of vertices with a particular number of children in a random ordered tree where all vertices must have a number of children in some finite set. By calculating the mixed moments of two such numbers, the package gives strong experimental evidence numbers are pairwise asymptotically normal.

Keywords

Cite

@article{arxiv.1805.08076,
  title  = {On The Joint Normality of Certain Statistics on Ordered Trees},
  author = {Yonah Biers-Ariel},
  journal= {arXiv preprint arXiv:1805.08076},
  year   = {2018}
}
R2 v1 2026-06-23T02:02:44.434Z