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Average height in a partially ordered set
Authors:P. Winkler
Affiliation:Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA
Abstract:The average height of an element x in a finite poset P is the expect below x in a random linear extension of P. We prove a number of theorems about average height, some intuitive and some not, using a recent result of L.A. Shepp.
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