The arithmetic of trees Export

@article{citeulike:3341147, 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.}, archivePrefix = {arXiv}, author = {Bruno, Adriano and Yasaki, Dan}, citeulike-article-id = {3341147}, citeulike-linkout-0 = {http://arxiv.org/abs/0809.4448}, citeulike-linkout-1 = {http://arxiv.org/pdf/0809.4448}, day = {25}, eprint = {0809.4448}, keywords = {combinatorics, fun, graphs, mathematics, number-theory}, month = {Sep}, posted-at = {2008-09-26 20:47:41}, priority = {2}, title = {The arithmetic of trees}, url = {http://arxiv.org/abs/0809.4448}, year = {2008} }

TY - JOUR ID - citeulike:3341147 L3 - citeulike-article-id:3341147 N2 - 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. TI - The arithmetic of trees KW - combinatorics KW - fun KW - graphs KW - mathematics KW - number-theory AU - Bruno, Adriano AU - Yasaki, Dan PY - 2008/Sep/25/ UR - http://arxiv.org/abs/0809.4448 ER -