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poset height and width (Definition)

Let $ P$ be a poset. Then the width of $ P$ is the cardinality of a largest (maximum cardinality) antichain in $ P$ and the height of $ P$ is the cardinality of a longest (maximum cardinality) chain in $ P$.



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Also defines:  height, width

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height of an element in a poset (Definition) by CWoo
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Cross-references: chain, antichain, cardinality, poset
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This is version 4 of poset height and width, born on 2005-02-10, modified 2006-12-31.
Object id is 6739, canonical name is PosetHeightAndWidth.
Accessed 4022 times total.

Classification:
AMS MSC: 06A06 (Order, lattices, ordered algebraic structures :: Ordered sets :: Partial order, general)
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