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math.CO2010★ 1 cited
Algebraic and combinatorial structures on Baxter permutations
Samuele Giraudo
We give a new construction of a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial famil…
math.CO2010
Balanced binary trees in the Tamari lattice
Samuele Giraudo
We show that the set of balanced binary trees is closed by interval in the Tamari lattice. We establish that the intervals [T0, T1] where T0 and T1 are balanced trees are isomorphi…