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arXiv · 1203.6807

Enumeration of saturated chains in Dyck lattices

Luca Ferrari·Emanuele Munarini
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Abstract

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 what we call the Hasse index (of order 2 and 3) of Dyck lattices, which is the ratio between the total number of saturated chains (of length 2 and 3) and the cardinality of the underlying poset.

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Luca Ferrari, Emanuele Munarini. 2012-03-30. Enumeration of saturated chains in Dyck lattices. https://doi.org/10.1016/j.aam.2014.09.003

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