English

Realization of shift graphs as disjointness graphs of 1-intersecting curves in the plane

Combinatorics 2018-02-28 v1 Discrete Mathematics

Abstract

It is shown that shift graphs can be realized as disjointness graphs of 1-intersecting curves in the plane. This implies that the latter class of graphs is not χ\chi-bounded.

Keywords

Cite

@article{arxiv.1802.09969,
  title  = {Realization of shift graphs as disjointness graphs of 1-intersecting curves in the plane},
  author = {Torsten Mütze and Bartosz Walczak and Veit Wiechert},
  journal= {arXiv preprint arXiv:1802.09969},
  year   = {2018}
}