Hopf-algebraic structures of families of trees

Preprint

25 November 2007

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0711.3877

Abstract

Description of cocommutative Hopf algebras associated with families of trees. Applications include Cayley's theorem on the number of rooted trees with n nodes, and Catalan's theorem on the number of rooted ordered trees with n nodes.

Keywords

ALGEBRAIC STRUCTURES
ALGEBRAS ASSOCIATED
FAMILIES OF TREES
TREES DESCRIPTION
NUMBER OF ROOTED
HOPF ALGEBRAIC
ROOTED ORDERED

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Version 1, 2007-11-25, ArXiv

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