## Tighter time bounds on fault-tolerant broadcasting and gossiping.(English)Zbl 0758.90033

Summary: Consider a network in which $$n$$ processors are connected by unreliable lines and are allowed to communicate with at most one other processor at a time. In this paper, the problems of broadcasting and gossiping are considered. Broadcast is the task of transmitting a message, originated at one node, to all other nodes in the network. Gossiping refers to the process of information dissemination when each processor knows a unique item of information and must transmit it to all the other processors in the network. In this paper, new bounds on fault-tolerant broadcasting and gossiping times are obtained. The given bounds improve on previously known results. In particular, if $$n$$ is a power of two, the given broadcast and gossiping schemes require minimum time and are supported by a network having the minimum possible number of edges.

### MSC:

 90B18 Communication networks in operations research 90B25 Reliability, availability, maintenance, inspection in operations research
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### References:

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