Linear Extensions of a Random Partial Order
نویسندگان
چکیده
منابع مشابه
Counting Linear Extensions of a Partial Order
A partially ordered set (P,<) is a set P together with an irreflexive, transitive relation. A linear extension of (P,<) is a relation (P,≺) such that (1) for all a, b ∈ P either a ≺ b or a = b or b ≺ a, and (2) if a < b then a ≺ b; in other words, a total order that preserves the original partial order. We define Λ(P ) as the set of all linear extensions of P , and define N(P ) = |Λ(P )|. Throu...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1994
ISSN: 1050-5164
DOI: 10.1214/aoap/1177005202