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On the Intersection Graphs of Orthogonal Line Segments in the Plane: Characterizations of Some Subclasses of Chordal Graphs

Golumbic, Martin Charles; Ries, Bernard (2013), On the Intersection Graphs of Orthogonal Line Segments in the Plane: Characterizations of Some Subclasses of Chordal Graphs, Graphs and Combinatorics, 29, 3, p. 499-517. 10.1007/s00373-012-1133-7

Type
Article accepté pour publication ou publié
Date
2013
Journal name
Graphs and Combinatorics
Volume
29
Number
3
Publisher
Springer
Pages
499-517
Publication identifier
10.1007/s00373-012-1133-7
Metadata
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Author(s)
Golumbic, Martin Charles
Department of Computer Science [Haifa]
Ries, Bernard
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
We investigate here the intersection graphs of horizontal and vertical line segments in the plane, the so called B 0-VPG graphs. A forbidden induced subgraph characterization of B 0-VPG split graphs is given, and we present a linear time algorithm to recognize this class. Next, we characterize chordal bull-free B 0-VPG graphs and chordal claw-free B 0-VPG graphs.
Subjects / Keywords
Segment graphs; 2-DIR graphs; Chordal claw-free graphs; Chordal bull-free graphs; Split graphs; Rectangular grid; Vertex intersection graph

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