### Abstract

In this work we address the question how important is the knowledge of geometric location and network density to the efficiency of (distributed) wireless communication in ad hoc networks. We study fundamental communication task of broadcast and develop well-scalable, randomized algorithms that do not rely on GPS information, and which efficiency formulas do not depend on how dense the geometric network is. We consider two settings: with and without spontaneous wake-up of nodes. In the former setting, in which all nodes start the protocol at the same time, our algorithm accomplishes broadcast in O(D log n + log^{2} n) rounds under the SINR model, with high probability (whp), where D is the diameter of the communication graph and n is the number of stations. In the latter setting, in which only the source node containing the original message is active in the beginning, we develop a slightly slower algorithm working in O(D log^{2} n) rounds whp. Both algorithms are based on a novel distributed coloring method, which is of independent interest and potential applicability to other communication tasks under the SINR wireless model.

Original language | English (US) |
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Title of host publication | PODC 2014 - Proceedings of the 2014 ACM Symposium on Principles of Distributed Computing |

Publisher | Association for Computing Machinery |

Pages | 357-366 |

Number of pages | 10 |

ISBN (Print) | 9781450329446 |

DOIs | |

State | Published - Jan 1 2014 |

Externally published | Yes |

Event | 2014 ACM Symposium on Principles of Distributed Computing, PODC 2014 - Paris, France Duration: Jul 15 2014 → Jul 18 2014 |

### Publication series

Name | Proceedings of the Annual ACM Symposium on Principles of Distributed Computing |
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### Conference

Conference | 2014 ACM Symposium on Principles of Distributed Computing, PODC 2014 |
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Country | France |

City | Paris |

Period | 7/15/14 → 7/18/14 |

### Keywords

- Ad Hoc wireless networks
- Broadcast
- Coloring
- Distributed algorithms
- Signal-to-Interference-and-Noise-Ratio (SINR) model

### ASJC Scopus subject areas

- Software
- Hardware and Architecture
- Computer Networks and Communications

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## Cite this

*PODC 2014 - Proceedings of the 2014 ACM Symposium on Principles of Distributed Computing*(pp. 357-366). (Proceedings of the Annual ACM Symposium on Principles of Distributed Computing). Association for Computing Machinery. https://doi.org/10.1145/2611462.2611487