Suppose we have a group of n people, each possessing an item of information not known to any of the others and that during each unit of time each person can send all of the information he knows to at most k other people. Further suppose that each of at most k other people can send all of the informa
Quick gossiping by telegraphs
โ Scribed by Roger Labahn; Ingo Warnke
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 186 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
We consider gossiping in the complete doubly directed graph, i.e. telegrams arranged in rounds are used to exchange information between n points, each having one initial item.It is proved that at least 1.44'..log, n rounds are needed to inform everybody about those n distinct items of information.
๐ SIMILAR VOLUMES
This paper considers the problem of gossiping with packets of limited size in a network with a cost function. We show that the problem of determining the minimum cost necessary to perform gossiping among a given set of participants with packets of limited size is NP-hard. We also give an approximate