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arXiv:1612.07540 [math.CO]AbstractReferencesReviewsResources

Planar posets have dimension at most linear in their height

Gwenaël Joret, Piotr Micek, Veit Wiechert

Published 2016-12-22Version 1

We prove that every planar poset $P$ of height $h$ has dimension at most $192h + 96$. This improves on previous exponential bounds and is best possible up to a constant factor.

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