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We enumerate the edges in the Hasse diagram of several lattices arising inthe combinatorial context of lattice paths. Specifically, we will consider thecase of Dyck, Grand Dyck, Motzkin, Grand Motzkin, Schr\"oder and GrandSchr\"oder lattices. Finally, we give a general formula for the number of edgesin an arbitrary Young lattice (which can be interpreted in a natural way as alattice of paths).

Enumeration of edges in some lattices of paths