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The Hopf algebra of integer binary relations
Vincent Pilaud, Viviane Pons
We construct a Hopf algebra on integer binary relations that contains under the same roof several well-known Hopf algebras related to the permutahedra and the associahedra: the Mal…
math.CO2018
The Rise-Contact involution on Tamari intervals
Viviane Pons
We describe an involution on Tamari intervals and m-Tamari intervals. This involution switches two sets of statistics known as the "rises" and the "contacts" and so proves an open…