Elsevier

Discrete Mathematics

Volume 81, Issue 2, 15 April 1990, Pages 165-169
Discrete Mathematics

Polytopes determined by complementfree Sperner families

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Abstract

The profile of a family of subsets of an n-element set is a vector [fnof] = ([fnof]0,…,[fnof]n), where [fnof]k denotes the number of k-element sets in the family. Using a new method the extreme points of the convex hull of the profiles of all complementfree Sperner families over an n-element set are determined.

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