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Triangle-Free Planar Graphs as Segments Intersection Graphs


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Opened Access Triangle-Free Planar Graphs as Segments Intersection Graphs

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Author: Castro Ochoa, Natalia de
Cobos Gavala, Javier
Dana Jiménez, Juan Carlos
Márquez Pérez, Alberto
Noy, Marc
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 1999
Published in: Graph Drawing, 1731, 341-350.
Document type: Article
Abstract: We prove that every triangle-free planar graph is the graph of intersection of a set of segments in the plane. Moreover, the segments can be chosen in only three directions (horizontal, vertical and oblique) and in such a way that no two segments cross, i.e., intersect in a common interior point.
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