7 citations · 11 across the 4 of their papers we have counts for
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math.CO2012★ 7 cited
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…
math.CO2012★ 4 cited
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,…
math.CO2009
Lattices of Paths: Representation Theory and Valuations
Luca Ferrari, Emanuele Munarini
We study some distributive lattices arising in the combinatorics of lattice paths. In particular, for the Dyck, Motzkin and Schroder lattices we describe the spectrum and we determ…