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math.CO2015★ 2 cited
Algebraic structures defined on -Dyck paths
Daniel López N., Louis-François Préville-Ratelle, María Ronco
We introduce natural binary set-theoretical products on the set of all -Dyck paths, which led us to define a non-symmetric algebraic operad $\Dy^m$, described on the vector spac…
math.CO2015
Free algebraic structures on the permutohedra
E. Burgunder, P. -L. Curien, M. Ronco
Tridendriform algebras are a type of associative algebras, introduced independently by F. Chapoton and by J.-L. Loday and the third author, in order to describe operads related to…