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Article Dans Une Revue Discrete Mathematics and Theoretical Computer Science Année : 2024

Contact graphs of boxes with unidirectional contacts

Résumé

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.

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lirmm-04659843 , version 1 (23-07-2024)

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Daniel Gonçalves, Vincent Limouzy, Pascal Ochem. Contact graphs of boxes with unidirectional contacts. Discrete Mathematics and Theoretical Computer Science, 2024, 25 (3 (special issue ICGT'22)), ⟨10.46298/dmtcs.10805⟩. ⟨lirmm-04659843⟩
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