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cs.DM2021
Some properties of the parking function poset
Bérénice Delcroix-Oger, Matthieu Josuat-Vergès, Lucas Randazzo
In 1980, Edelman defined a poset on objects called the noncrossing 2-partitions. They are closely related with noncrossing partitions and parking functions. To some extent, his def…
cs.DM2021
Non-ambiguous trees: new results and generalisation (Full version)
Bérénice Delcroix-Oger, Florent Hivert, Patxi Laborde-Zubieta +2
We present a new definition of non-ambiguous trees (NATs) as labelled binary trees. We thus get a differential equation whose solution can be described combinatorially. This yields…