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Loopless Generation of Linear Extensions of a Poset

โœ Scribed by James F. Korsh; Paul S. LaFollette


Book ID
110349669
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
104 KB
Volume
19
Category
Article
ISSN
0167-8094

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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