7 citations · 11 across the 4 of their papers we have counts for
4 papers
The Sum Composition Problem
Mario Pennacchioni, Emanuele Munarini, Marco Mesiti
In this paper, we study the "sum composition problem" between two lists and of positive integers. We start by saying that is "sum composition" of when there exists…
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,…
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…