### Abstract

We consider deterministic broadcasting in radio networks whose nodes have full topological information about the network. The aim is to design a polynomial algorithm which given a graph G with source s produces a fast broadcast scheme in the radio network represented by G. The problem of finding a fastest broadcast scheme for a given graph is NP-hard hence it is only possible to get an approximation algorithm. We give a deterministic polynomial algorithm which produces a broadcast scheme of length O(D + 2 n) for every n-node graph of diameter D thus improving a result of Ga̧sieniec et al. (PODC 2005) [17] and solving a problem stated there. Unless the inclusion NP BPTIME(O n holds the length O n) of a polynomially constructible deterministic broadcast scheme is optimal.

Original language | English (US) |
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Pages (from-to) | 185-195 |

Number of pages | 11 |

Journal | Distributed Computing |

Volume | 19 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 2007 |

Externally published | Yes |

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### Keywords

- Broadcast
- Deterministic algorithm
- Graph
- Radio network

### ASJC Scopus subject areas

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

### Cite this

*Distributed Computing*,

*19*(3), 185-195. https://doi.org/10.1007/s00446-006-0007-8