Dichotomy of the addition of natural numbers
Rings and Algebras
2011-09-01 v1 Combinatorics
Abstract
This is an elementary presentation of the arithmetic of trees. We show how it is related to the Tamari poset. In the last part we investigate various ways of realizing this poset as a polytope (associahedron), including one inferred from Tamari's thesis.
Cite
@article{arxiv.1108.6238,
title = {Dichotomy of the addition of natural numbers},
author = {Jean-Louis Loday},
journal= {arXiv preprint arXiv:1108.6238},
year = {2011}
}
Comments
15 pages (final version)