Proof of a conjecture on partitions of a Boolean lattice |
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Authors: | Zbigniew Lonc |
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Affiliation: | (1) Institute of Mathematics, Warsaw University of Technology, pl. Politechniki 1, 01-390 Warsaw, Poland |
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Abstract: | Let n and c be positive integers. We show that if n is sufficiently large given c then the Boolean lattice consisting of all subsets of an n-element set can be partitioned into chains of size c except for at most c — 1 elements which also form a chain. This settles a conjecture of Griggs. |
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Keywords: | 06A23 |
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