The arithmetic of trees
Combinatorics
2008-09-26 v1
Abstract
The arithmetic of the natural numbers can be extended to arithmetic operations on planar binary trees. This gives rise to a non-commutative arithmetic theory. In this exposition, we describe this arithmetree, first defined by Loday, and investigate prime trees.
Keywords
Cite
@article{arxiv.0809.4448,
title = {The arithmetic of trees},
author = {Adriano Bruno and Dan Yasaki},
journal= {arXiv preprint arXiv:0809.4448},
year = {2008}
}
Comments
9 pages, 2 figures, 1 table