Hopf-algebraic structures of families of trees

Details Hopf-algebraic structures of families of trees Hopf-algebraic structures of families of trees

2007-11-25

arxiv.org/abs/0711.3877v1

J. Algebra, 126 (1989), 184-210

Mathematics

Rings and Algebras

29 pages

Scientific paper

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.

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