English

Triangle-free geometric intersection graphs with no large independent sets

Combinatorics 2014-12-30 v2 Computational Geometry Discrete Mathematics Metric Geometry

Abstract

It is proved that there are triangle-free intersection graphs of line segments in the plane with arbitrarily small ratio between the maximum size of an independent set and the total number of vertices.

Keywords

Cite

@article{arxiv.1404.0169,
  title  = {Triangle-free geometric intersection graphs with no large independent sets},
  author = {Bartosz Walczak},
  journal= {arXiv preprint arXiv:1404.0169},
  year   = {2014}
}

Comments

Change of the title, minor revision

R2 v1 2026-06-22T03:40:01.747Z