English

Degree-3 Planar Graphs as Topological Minors of Wall Graphs in Polynomial Time

Discrete Mathematics 2023-02-23 v3

Abstract

In this note, we give a proof of the fact that we can efficiently find degree-3 planar graphs as topological minors of sufficiently large wall graphs. The result is needed as an intermediate step to fix a proof in my PhD thesis.

Keywords

Cite

@article{arxiv.2302.03461,
  title  = {Degree-3 Planar Graphs as Topological Minors of Wall Graphs in Polynomial Time},
  author = {Antoine Amarilli},
  journal= {arXiv preprint arXiv:2302.03461},
  year   = {2023}
}

Comments

V2: Updated to fix an error in the proof pointed out by Mika\"el Monet. V3: Updated to point out alternative and simpler proof route following https://cstheory.stackexchange.com/a/52489