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On Extremal Set Partitions in Cartesian Product Spaces

Published online by Cambridge University Press:  12 September 2008

Rudolf Ahlswede  and
Ning Cai
Rudolf Ahlswede
Affiliation:
Universität Bielefeld, Fakultät für Mathematik, Postfach 100131, 33501 Bielefeld, Germany
Ning Cai
Affiliation:
Universität Bielefeld, Fakultät für Mathematik, Postfach 100131, 33501 Bielefeld, Germany
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Abstract

The partition number of a product hypergraph is introduced as the minimal size of a partition of its vertex set into sets that are edges. This number is shown to be multiplicative if all factors are graphs with all loops included.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 2 , Issue 3 , September 1993 , pp. 211 - 220
Copyright
Copyright © Cambridge University Press 1993

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References

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