53 citations · 146 across the 4 of their papers we have counts for
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Intervals in the greedy Tamari posets
Mireille Bousquet-Mélou, Frédéric Chapoton
We consider a greedy version of the -Tamari order defined on -Dyck paths, recently introduced by Dermenjian. Inspired by intriguing connections between intervals in the ordin…
Counting quadrant walks via Tutte's invariant method
Olivier Bernardi, Mireille Bousquet-Mélou, Kilian Raschel
In the 1970s, William Tutte developed a clever algebraic approach, based on certain "invariants", to solve a functional equation that arises in the enumeration of properly colored…
A property of dominance of partitions
Mireille Bousquet-Mélou
Given an integer partition $\la=(\la_1, ..., \la_\ell)$ and an integer k, denote by $\la^{(k)}$ the sequence of length obtained by reordering the values $|\la_i-k|$ in non-i…
On partitions avoiding 3-crossings
Mireille Bousquet-Mélou, Guoce Xin
A partition on has a crossing if there exists such that and are in the same block, and are in the same block, but and…