Contact graphs of boxes with unidirectional contacts
Discrete mathematics & theoretical computer science, special issue ICGT'22, Tome 25 (2023-2024) no. 3.

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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.
DOI : 10.46298/dmtcs.10805
Classification : 05C62, 05C76
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Gonçalves, Daniel; Limouzy, Vincent; Ochem, Pascal. Contact graphs of boxes with unidirectional contacts. Discrete mathematics & theoretical computer science, special issue ICGT'22, Tome 25 (2023-2024) no. 3. doi : 10.46298/dmtcs.10805. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.10805/

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