### Abstract

An outersegment graph is the intersection graph of line-segments lying inside a disk and having one end-point on the boundary of the disk. We present a polynomial-time algorithm for the problem of computing a maximum independent set in outersegment graphs where every segment is either horizontally or vertically aligned. We assume that a geometric representation of the graph is given as input.

Original language | English |
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Title of host publication | Proceedings of the 37th International Workshop on Graph-Theoretic Concepts in Computer Science (WG) |

Pages | 155-166 |

Number of pages | 12 |

DOIs | |

Publication status | Published - 2011 |

Externally published | Yes |

## Cite this

Flier, H., Mihalák, M., Widmayer, P., & Zych, A. (2011). Maximum Independent Set in 2-Direction Outersegment Graphs. In

*Proceedings of the 37th International Workshop on Graph-Theoretic Concepts in Computer Science (WG)*(pp. 155-166) https://doi.org/10.1007/978-3-642-25870-1_15