Ideal (Partial Order)

An ideal of a Partial Order is a subset of the elements of which satisfy the property thatif and , then . For disjoint chains in which the th chain contains elements,there are ideals. The number of ideals of a -element Fence Poset is theFibonacci Number .

References

Ruskey, F. ``Information on Ideals of Partially Ordered Sets.'' http://sue.csc.uvic.ca/~cos/inf/pose/Ideals.html.

Steiner, G. ``An Algorithm to Generate the Ideals of a Partial Order.'' Operat. Res. Let. 5, 317-320, 1986.

• Rudin-Shapiro Sequence
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