### Abstract

Each of n nodes of a communication network has a piece of information (gossip) which should be made known to all other nodes. Gossiping is done by sending letters. In a unit of time each node can either send one letter to a neighbor or receive one such letter, containing one gossip currently known to the sender. Letters reach their destinations with constant probability 0<q<1, independently of one another. For a large class of networks, including rings, grids, hypercubes and complete graphs, we construct gossip schemes working in linear time and successfully performing gossiping with probability converging to 1, as the number of nodes grows.

Original language | English (US) |
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Pages (from-to) | 15-24 |

Number of pages | 10 |

Journal | Discrete Applied Mathematics |

Volume | 53 |

Issue number | 1-3 |

DOIs | |

State | Published - Sep 14 1994 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Discrete Mathematics and Combinatorics
- Applied Mathematics

### Cite this

*Discrete Applied Mathematics*,

*53*(1-3), 15-24. https://doi.org/10.1016/0166-218X(94)90176-7

**Fast gossiping with short unreliable messages.** / Chlebus, Bogdan S.; Diks, Krzysztof; Pelc, Andrzej.

Research output: Contribution to journal › Article

*Discrete Applied Mathematics*, vol. 53, no. 1-3, pp. 15-24. https://doi.org/10.1016/0166-218X(94)90176-7

}

TY - JOUR

T1 - Fast gossiping with short unreliable messages

AU - Chlebus, Bogdan S.

AU - Diks, Krzysztof

AU - Pelc, Andrzej

PY - 1994/9/14

Y1 - 1994/9/14

N2 - Each of n nodes of a communication network has a piece of information (gossip) which should be made known to all other nodes. Gossiping is done by sending letters. In a unit of time each node can either send one letter to a neighbor or receive one such letter, containing one gossip currently known to the sender. Letters reach their destinations with constant probability 0

AB - Each of n nodes of a communication network has a piece of information (gossip) which should be made known to all other nodes. Gossiping is done by sending letters. In a unit of time each node can either send one letter to a neighbor or receive one such letter, containing one gossip currently known to the sender. Letters reach their destinations with constant probability 0

UR - http://www.scopus.com/inward/record.url?scp=0012488723&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012488723&partnerID=8YFLogxK

U2 - 10.1016/0166-218X(94)90176-7

DO - 10.1016/0166-218X(94)90176-7

M3 - Article

AN - SCOPUS:0012488723

VL - 53

SP - 15

EP - 24

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

SN - 0166-218X

IS - 1-3

ER -