Rumour spreading and graph conductance

  • Authors:
  • Flavio Chierichetti;Silvio Lattanzi;Alessandro Panconesi

  • Affiliations:
  • Sapienza Università di Roma;Sapienza Università di Roma;Sapienza Università di Roma

  • Venue:
  • SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
  • Year:
  • 2010

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Abstract

We show that if a connected graph with n nodes has conductance &phis; then rumour spreading, also known as randomized broadcast, successfully broadcasts a message within O(log4 n/&phis;6) many steps, with high probability, using the PUSH-PULL strategy. An interesting feature of our approach is that it draws a connection between rumour spreading and the spectral sparsification procedure of Spielman and Teng [23].