Time and cost trade-offs in gossiping

Artur Czumaj, Leszek Ga̧sieniec, Andrzej Pelc

Research output: Contribution to journalArticle

10 Scopus citations

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 languageEnglish (US)
Pages (from-to)400-413
Number of pages14
JournalSIAM Journal on Discrete Mathematics
Volume11
Issue number3
DOIs
StatePublished - Aug 1998
Externally publishedYes

Keywords

  • Algorithm
  • Cost
  • Gossiping
  • Lower bounds
  • Time

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Time and cost trade-offs in gossiping'. Together they form a unique fingerprint.

  • Cite this