English

Improved bound for the dimension of posets of treewidth two

Combinatorics 2019-06-18 v2

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.

Keywords

Cite

@article{arxiv.1902.01189,
  title  = {Improved bound for the dimension of posets of treewidth two},
  author = {Michał T. Seweryn},
  journal= {arXiv preprint arXiv:1902.01189},
  year   = {2019}
}