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A recurrence for linear extensions

✍ Scribed by Paul Edelman; Takayuki Hibi; Richard P. Stanley

Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
190 KB
Volume
6
Category
Article
ISSN
0167-8094

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✍ P. C. Fishburn πŸ“‚ Article πŸ“… 1986 πŸ› Springer Netherlands 🌐 English βš– 308 KB

Let p:P(12)/P( 12113), where P(tj) is the probability that i precedes j in a randomly chosen linear extension of a partially ordered set ({1,2 ..... n},<) in which points 1, 2 and 3 are mutually incomparable. A previous paper by the author (Order 1, 127 (1984)) proved that 13 <1. The present paper c