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math.CO2022★ 1 cited
The -weak order and -permutahedra I: combinatorics and lattice structure
Cesar Ceballos, Viviane Pons
This is the first contribution of a sequence of papers introducing the notions of -weak order and -permutahedra, certain discrete objects that are indexed by a sequence of no…
math.CO2022
A description of the Zeta map on Dyck paths area sequences
Viviane Pons
We give a description of the well known Zeta map on Dyck paths which sends the dinv,area statistics to the area,bounce statistics. Our description uses Dyck paths area sequences an…