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Linear Extensions of Additive Partial Orders

โœ Scribed by Peter Fishburn


Book ID
110231370
Publisher
Springer Netherlands
Year
1997
Tongue
English
Weight
169 KB
Volume
14
Category
Article
ISSN
0167-8094

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Linear extensions of random orders
โœ Graham Brightwell ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 621 KB

A popular model of random orders is obtained by taking two disjoint n-element antichains A, and Al, and putting in each relation in A, x A, with probability l/2, all the choices being made independently. We estimate the number of linear extensions of such an ordered set, showing that this number is