### Abstract

Original language | English |
---|---|

Title of host publication | Approximation and Online Algorithms |

Subtitle of host publication | Third International Workshop, WAOA 2005, Palma de Mallorca, Spain, October 6-7, 2005, Revised Papers |

Editors | Thomas Erlebach, Giuseppe Persiano |

Place of Publication | Berlin, Heidelberg |

Publisher | Springer |

Pages | 296-306 |

Number of pages | 11 |

ISBN (Electronic) | 978-3-540-32208-5 |

ISBN (Print) | 3-540-32207-8 |

DOIs | |

Publication status | Published - 2006 |

Event | 3rd International Workshop on Approximation and Online Algorithms, WAOA 2005 - Hotel Tryp Bellver, Palma de Mallorca, Spain Duration: 6 Oct 2005 → 7 Oct 2005 Conference number: 3 |

### Publication series

Name | Lecture Notes in Computer Science |
---|---|

Publisher | Springer |

Volume | 3879 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Workshop

Workshop | 3rd International Workshop on Approximation and Online Algorithms, WAOA 2005 |
---|---|

Abbreviated title | WAOA |

Country | Spain |

City | Palma de Mallorca |

Period | 6/10/05 → 7/10/05 |

### Fingerprint

### Keywords

- EC Grant Agreement nr.: FP5/34734

### Cite this

*Approximation and Online Algorithms: Third International Workshop, WAOA 2005, Palma de Mallorca, Spain, October 6-7, 2005, Revised Papers*(pp. 296-306). (Lecture Notes in Computer Science; Vol. 3879). Berlin, Heidelberg: Springer. https://doi.org/10.1007/11671411_23

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*Approximation and Online Algorithms: Third International Workshop, WAOA 2005, Palma de Mallorca, Spain, October 6-7, 2005, Revised Papers.*Lecture Notes in Computer Science, vol. 3879, Springer, Berlin, Heidelberg, pp. 296-306, 3rd International Workshop on Approximation and Online Algorithms, WAOA 2005, Palma de Mallorca, Spain, 6/10/05. https://doi.org/10.1007/11671411_23

**A PTAS for the Minimum Dominating Set Problem in Unit Disk Graphs.** / Nieberg, Tim; Hurink, Johann.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A PTAS for the Minimum Dominating Set Problem in Unit Disk Graphs

AU - Nieberg, Tim

AU - Hurink, Johann

PY - 2006

Y1 - 2006

N2 - We present a polynomial-time approximation scheme (PTAS) for the minimum dominating set problem in unit disk graphs. In contrast to previously known approximation schemes for the minimum dominating set problem on unit disk graphs, our approach does not assume a geometric representation of the vertices (specifying the positions of the disks in the plane) to be given as part of the input. The runtime of the PTAS is n O(1/εlog 1/ε). The algorithm accepts any undirected graph as input, and returns a (1 + ε)-approximate minimum dominating set, or a certificate showing that the input graph is no unit disk graph, making the algorithm robust. The PTAS can easily be adapted to other classes of geometric intersection graphs.

AB - We present a polynomial-time approximation scheme (PTAS) for the minimum dominating set problem in unit disk graphs. In contrast to previously known approximation schemes for the minimum dominating set problem on unit disk graphs, our approach does not assume a geometric representation of the vertices (specifying the positions of the disks in the plane) to be given as part of the input. The runtime of the PTAS is n O(1/εlog 1/ε). The algorithm accepts any undirected graph as input, and returns a (1 + ε)-approximate minimum dominating set, or a certificate showing that the input graph is no unit disk graph, making the algorithm robust. The PTAS can easily be adapted to other classes of geometric intersection graphs.

KW - EC Grant Agreement nr.: FP5/34734

U2 - 10.1007/11671411_23

DO - 10.1007/11671411_23

M3 - Conference contribution

SN - 3-540-32207-8

T3 - Lecture Notes in Computer Science

SP - 296

EP - 306

BT - Approximation and Online Algorithms

A2 - Erlebach, Thomas

A2 - Persiano, Giuseppe

PB - Springer

CY - Berlin, Heidelberg

ER -