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

M. C. Golumbic; B. Ries

doi:10.1007/s00373-012-1133-7

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

M. C. Golumbic, B. Ries

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate here the intersection graphs of horizontal and vertical line segments in the plane, the so called B₀-VPG graphs. A forbidden induced subgraph characterization of B₀-VPG split graphs is given, and we present a linear time algorithm to recognize this class. Next, we characterize chordal bull-free B₀-VPG graphs and chordal claw-free B₀-VPG graphs.

Original language	English
Pages (from-to)	499-517
Number of pages	19
Journal	Graphs and Combinatorics
Volume	29
Issue number	3
DOIs	https://doi.org/10.1007/s00373-012-1133-7
State	Published - May 2013

Keywords

2-DIR graphs
Chordal bull-free graphs
Chordal claw-free graphs
Rectangular grid
Segment graphs
Split graphs
Vertex intersection graph

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1007/s00373-012-1133-7

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abstract = "We investigate here the intersection graphs of horizontal and vertical line segments in the plane, the so called B0-VPG graphs. A forbidden induced subgraph characterization of B0-VPG split graphs is given, and we present a linear time algorithm to recognize this class. Next, we characterize chordal bull-free B0-VPG graphs and chordal claw-free B0-VPG graphs.",

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AB - We investigate here the intersection graphs of horizontal and vertical line segments in the plane, the so called B0-VPG graphs. A forbidden induced subgraph characterization of B0-VPG split graphs is given, and we present a linear time algorithm to recognize this class. Next, we characterize chordal bull-free B0-VPG graphs and chordal claw-free B0-VPG graphs.

KW - 2-DIR graphs

KW - Chordal bull-free graphs

KW - Chordal claw-free graphs

KW - Rectangular grid

KW - Segment graphs

KW - Split graphs

KW - Vertex intersection graph

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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