### Abstract

We study two fundamental problems in the model of undirected radio networks: broadcasting and construction of a Minimal Dominating Set (MDS). The network is ad hoc, in the sense that initially nodes know only their own ID and the IDs of their neighbors. For both problems, we provide deterministic distributed algorithms working in O(D√n log^{6} n) communication rounds, and complement them by a close lower bound Ω(√Dn log(n/D)) , where n is the number of nodes and D is the radius of the radio network. Our work provides several novel algorithmic methods for overcoming the impact of collisions in radio networks, and shrinks the gap between the lower and the upper bounds for the considered problems from polynomial to polylogarithmic, for networks with small (polylogarithmic) radius.

Original language | English (US) |
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Title of host publication | Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings |

Pages | 209-223 |

Number of pages | 15 |

DOIs | |

State | Published - Dec 1 2012 |

Externally published | Yes |

Event | 16th International Conference on Principles of Distributed Systems, OPODIS 2012 - Rome, Italy Duration: Dec 18 2012 → Dec 20 2012 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 7702 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 16th International Conference on Principles of Distributed Systems, OPODIS 2012 |
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Country | Italy |

City | Rome |

Period | 12/18/12 → 12/20/12 |

### Keywords

- broadcasting
- distributed algorithms
- minimal dominating set
- radio networks

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings*(pp. 209-223). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7702 LNCS). https://doi.org/10.1007/978-3-642-35476-2_15