Improved bound for the dimension of posets of treewidth two

Michał T. Seweryn

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arXiv · 1902.01189

Improved bound for the dimension of posets of treewidth two

Michał T. Seweryn

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Abstract

Joret et al. proved that posets with cover graphs of treewidth at most 2 have dimension at most 1276. Their proof is long and very complex. We give a short and much simpler proof that the dimension of such posets is at most 12.

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Michał T. Seweryn. 2019-06-17. Improved bound for the dimension of posets of treewidth two. https://arxiv.org/abs/1902.01189

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