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Contact graphs of boxes with unidirectional contacts

Discrete Mathematics 2024-08-07 v4 Combinatorics

Abstract

This paper is devoted to the study of particular geometrically defined intersection classes of graphs. Those were previously studied by Magnant and Martin, who proved that these graphs have arbitrary large chromatic number, while being triangle-free. We give several structural properties of these graphs, and we raise several questions.

Keywords

Cite

@article{arxiv.2301.03865,
  title  = {Contact graphs of boxes with unidirectional contacts},
  author = {Daniel Gonçalves and Vincent Limouzy and Pascal Ochem},
  journal= {arXiv preprint arXiv:2301.03865},
  year   = {2024}
}

Comments

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