### Abstract

The paper considers broadcasting protocols in radio networks with known topology that are efficient in both time and energy. The radio network is modelled as an undirected graph G = (V, E) where |V| = n. It is assumed that during execution of the communication task every node in V is allowed to transmit at most once. Under this assumption it is shown that any radio broadcast protocol requires transmission rounds, where D is the diameter of G. This lower bound is complemented with an efficient construction of a deterministic protocol that accomplishes broadcasting in rounds. Moreover, if we allow each node to transmit at most k times, the lower bound on the number of transmission rounds holds. We also provide a randomised protocol that accomplishes broadcasting in rounds. The paper concludes with a number of open problems in the area.

Original language | English (US) |
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Pages (from-to) | 117-127 |

Number of pages | 11 |

Journal | Distributed Computing |

Volume | 21 |

Issue number | 2 |

DOIs | |

State | Published - Jul 1 2008 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Theoretical Computer Science
- Hardware and Architecture
- Computer Networks and Communications
- Computational Theory and Mathematics

### Cite this

*Distributed Computing*,

*21*(2), 117-127. https://doi.org/10.1007/s00446-008-0058-0