### Abstract

Broadcasting concerns transmitting information from a node of a communication network to all other nodes. We consider this problem assuming that links and nodes of the network fail independently with given probabilities p<l and q<l, respectively. For a positive constant e, broadcasting in an n-node network is said to be e-safe, if source information is transmitted to all fault-free nodes with probability at least 1-n^{-ε}. For any p<l, q<l and ε>0 we show a class of n-node networks with maximum degree O(log n) and e-safe broadcasting algorithms for such networks working in logarithmic time.

Original language | English (US) |
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Title of host publication | Automata, Languages and Programming - 20th International Colloquium, ICALP 1993, Proceedings |

Editors | Andrzej Lingas, Rolf Karlsson, Svante Carlsson |

Publisher | Springer Verlag |

Pages | 388-397 |

Number of pages | 10 |

ISBN (Print) | 9783540569398 |

DOIs | |

State | Published - 1993 |

Event | 20th International Colloquium on Automata, Languages and Programming, ICALP 1993 - Lund, Sweden Duration: Jul 5 1993 → Jul 9 1993 |

### 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 | 700 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 20th International Colloquium on Automata, Languages and Programming, ICALP 1993 |
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Country | Sweden |

City | Lund |

Period | 7/5/93 → 7/9/93 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

Chlebus, B. S., Diks, K., & Pelc, A. (1993). Sparse networks supporting efficient reliable broadcasting. In A. Lingas, R. Karlsson, & S. Carlsson (Eds.),

*Automata, Languages and Programming - 20th International Colloquium, ICALP 1993, Proceedings*(pp. 388-397). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 700 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-56939-1_88