On Whitney numbers of the Order Ideals of Generalized Fences and Crowns

Details On Whitney numbers of the Order Ideals of Generalized Fences and Crowns On Whitney numbers of the Order Ideals of Generalized Fences and Crowns

2005-05-30

arxiv.org/abs/math/0505636v2

Discrete Math. 309 (2009), 615-621

Mathematics

Combinatorics

LaTeX, 13 pages

Scientific paper

We solve some recurrences given by E. Munarini and N. Zagaglia Salvi proving
explicit closed formulas for Whitney numbers of the distributive lattices of
order ideals of the fence poset and crown poset. Moreover, we get explicit
closed formulas for Whitney numbers of lattices of order ideals of fences with
higher asymmetric peaks.

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