1 citations · 1 across the 3 of their papers we have counts for
3 papers
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…
An operad is never free as a pre-Lie algebra
Emily Burgunder, Bérénice Delcroix-Oger, Dominique Manchon
An operad is naturally endowed with a pre-Lie structure. We prove that as a pre-Lie algebra an operad is not free. The proof holds on defining a non-vanishing linear operation in t…
Semi-pointed partition posets and Species
Bérénice Delcroix-Oger
We define semi-pointed partition posets, which are a generalisation of partition posets and show that they are Cohen-Macaulay. We then use multichains to compute the dimension and…