English

An improved planar graph product structure theorem

Combinatorics 2021-08-21 v1 Discrete Mathematics

Abstract

Dujmovi\'c, Joret, Micek, Morin, Ueckerdt and Wood [J. ACM 2020] proved that for every planar graph GG there is a graph HH with treewidth at most 8 and a path PP such that GHPG\subseteq H\boxtimes P. We improve this result by replacing "treewidth at most 8" by "simple treewidth at most 6".

Keywords

Cite

@article{arxiv.2108.00198,
  title  = {An improved planar graph product structure theorem},
  author = {Torsten Ueckerdt and David R. Wood and Wendy Yi},
  journal= {arXiv preprint arXiv:2108.00198},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1904.04791

R2 v1 2026-06-24T04:42:45.186Z