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A Group-Theoretic Setting for Some Intersecting Sperner Families

Published online by Cambridge University Press:  12 September 2008

Péter L. Erdős ,
Ulrich Faigle  and
Walter Kern
Péter L. Erdős
Affiliation:
Department of Applied Mathematics, University of Twente, 7500 AE Enschede, The Netherlands
Ulrich Faigle
Affiliation:
Department of Applied Mathematics, University of Twente, 7500 AE Enschede, The Netherlands
Walter Kern
Affiliation:
Department of Applied Mathematics, University of Twente, 7500 AE Enschede, The Netherlands
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Abstract

Using a group-theoretic approach, we derive some Erdős-Ko-Rado-type results for certain Sperner families of chains and antichains in partial orders. In particular, we establish Bollobás-type inequalities for arbitrary Sperner families of intersecting affine subspaces, and special intersecting Sperner families in generalized Boolean algebras.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 4 , December 1992 , pp. 323 - 334
Copyright
Copyright © Cambridge University Press 1992

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