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- W2955178648 abstract "We show that height $h$ posets that have planar cover graphs have dimension $mathcal{O}(h^6)$. Previously, the best upper bound was $2^{mathcal{O}(h^3)}$. Planarity plays a key role in our arguments, since there are posets such that (1) dimension is exponential in height and (2) the cover graph excludes $K_5$ as a minor." @default.
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- W2955178648 date "2019-06-30" @default.
- W2955178648 modified "2023-09-27" @default.
- W2955178648 title "Dimension is polynomial in height for posets with planar cover graphs" @default.
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