### Abstract

Each of n processors has a value which should be transmitted to all other processors. This fundamental communication task is called gossiping. In a unit of time every processor can communicate with at most one other processor and during such a transmission each member of a communicating pair learns all values currently known to the other. Two important criteria of efficiency of a gossiping algorithm are its running time and the total number of transmissions. Another measure of quality of a gossiping algorithm is the total number of links used for transmissions. This is the minimum cost of a network which can support the gossiping algorithm. We establish trade-offs between the time T of gossiping and the number C of transmissions and between the time of gossiping and the number L of links used by the algorithm. For a given T we construct gossiping algorithms working in time T, with parameters C and L close to optimal.

Original language | English (US) |
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Pages (from-to) | 400-413 |

Number of pages | 14 |

Journal | SIAM Journal on Discrete Mathematics |

Volume | 11 |

Issue number | 3 |

DOIs | |

State | Published - Aug 1998 |

Externally published | Yes |

### Keywords

- Algorithm
- Cost
- Gossiping
- Lower bounds
- Time

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

*SIAM Journal on Discrete Mathematics*,

*11*(3), 400-413. https://doi.org/10.1137/S0895480295292934