Ordered Forests and Parking Functions
Copyright policy )Ordered Forests and Parking Functions
We prove that the Hopf algebra of parking functions and the Hopf algebra of ordered forests are isomorphic, using a rigidity theorem for a particular type of bialgebras.
22 pages, revised version
dendriform coalgebras, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], duplicial algebras, Hopf algebra of ordered forests, Mathematics - Rings and Algebras, Hopf algebra of parking functions, 510, 004, 05C05, Rings and Algebras (math.RA), FOS: Mathematics, 16W30
dendriform coalgebras, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], duplicial algebras, Hopf algebra of ordered forests, Mathematics - Rings and Algebras, Hopf algebra of parking functions, 510, 004, 05C05, Rings and Algebras (math.RA), FOS: Mathematics, 16W30
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