Contact graphs of boxes with unidirectional contacts

Fuente: arXiv
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Main Authors: Gonçalves, Daniel, Limouzy, Vincent, Ochem, Pascal
Format: Preprint
Published: 2023
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author Gonçalves, Daniel
Limouzy, Vincent
Ochem, Pascal
author_facet Gonçalves, Daniel
Limouzy, Vincent
Ochem, Pascal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_03865
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Contact graphs of boxes with unidirectional contacts
Gonçalves, Daniel
Limouzy, Vincent
Ochem, Pascal
Discrete Mathematics
Combinatorics
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.
title Contact graphs of boxes with unidirectional contacts
topic Discrete Mathematics
Combinatorics
url https://arxiv.org/abs/2301.03865