7 citations · 27 across the 23 of their papers we have counts for
4 papers · 1 filter
Unimodality and Dyck paths
Luca Ferrari
We propose an original approach to the problem of rankunimodality for Dyck lattices. It is based on a well known recursive construction of Dyck paths originally developed in the co…
Enumeration of saturated chains in Dyck lattices
Luca Ferrari, Emanuele Munarini
We determine a general formula to compute the number of saturated chains in Dyck lattices, and we apply it to find the number of saturated chains of length 2 and 3. We also compute…
Enumeration of edges in some lattices of paths
Luca Ferrari, Emanuele Munarini
We enumerate the edges in the Hasse diagram of several lattices arising in the combinatorial context of lattice paths. Specifically, we will consider the case of Dyck, Grand Dyck,…
A partial order structure on interval orders
Filippo Disanto, Luca Ferrari, Simone Rinaldi
We introduce a partial order structure on the set of interval orders of a given size, and prove that such a structure is in fact a lattice. We also provide a way to compute meet an…