We study some distributive lattices arising in the combinatorics of lattice paths. In particular, for the Dyck, Motzkin and Schr¨oder lattices we describe the spectrum and we determine explicitly the Euler characteristic in terms of natural parameters of lattice paths.
Lattices of paths: representation theory and valuations
MUNARINI, EMANUELE
2011-01-01
Abstract
We study some distributive lattices arising in the combinatorics of lattice paths. In particular, for the Dyck, Motzkin and Schr¨oder lattices we describe the spectrum and we determine explicitly the Euler characteristic in terms of natural parameters of lattice paths.File in questo prodotto:
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