### Abstract

We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let P be a set of n points in the plane and let S be a set of non-crossing line segments whose endpoints are in P. We present two deterministic 1-local O(1)-memory routing algorithms that are guaranteed to find a path of at most linear size between any pair of vertices of the visibility graph of P with respect to a set of constraints S (i.e., the algorithms never look beyond the direct neighbours of the current location and store only a constant amount of information). Contrary to all existing deterministic local routing algorithms, our routing algorithms do not route on a plane subgraph of the visibility graph.

Original language | English |
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Title of host publication | 28th International Symposium on Algorithms and Computation, ISAAC 2017 |

Editors | Takeshi Tokuyama, Yoshio Okamoto |

Publisher | Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing |

ISBN (Electronic) | 9783959770545 |

DOIs | |

Publication status | Published - 2017 Dec 1 |

Event | 28th International Symposium on Algorithms and Computation, ISAAC 2017 - Phuket, Thailand Duration: 2017 Dec 9 → 2017 Dec 22 |

### Publication series

Name | Leibniz International Proceedings in Informatics, LIPIcs |
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Volume | 92 |

ISSN (Print) | 1868-8969 |

### Other

Other | 28th International Symposium on Algorithms and Computation, ISAAC 2017 |
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Country | Thailand |

City | Phuket |

Period | 17/12/9 → 17/12/22 |

### Keywords

- Constraints
- Routing
- Visibility graph
- Θ-graph

### ASJC Scopus subject areas

- Software

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## Cite this

*28th International Symposium on Algorithms and Computation, ISAAC 2017*(Leibniz International Proceedings in Informatics, LIPIcs; Vol. 92). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing. https://doi.org/10.4230/LIPIcs.ISAAC.2017.18