English

Tree statistics from Matula numbers

Combinatorics 2011-11-21 v1

Abstract

There is a one-to-one correspondence between natural numbers and rooted trees; the number is called the Matula number of the rooted tree. We show how a large number of properties of trees can be obtained directly from the corresponding Matula number.

Keywords

Cite

@article{arxiv.1111.4288,
  title  = {Tree statistics from Matula numbers},
  author = {Emeric Deutsch},
  journal= {arXiv preprint arXiv:1111.4288},
  year   = {2011}
}
R2 v1 2026-06-21T19:37:56.851Z