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Concentration of Measure for the Analysis of Randomized Algorithms
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Rumor Spreading in Social Networks
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
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Almost tight bounds for rumour spreading with conductance
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Rumor spreading in social networks
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DASFAA'11 Proceedings of the 16th international conference on Database systems for advanced applications
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Rumor spreading and vertex expansion
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Fast information spreading in graphs with large weak conductance
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Strong robustness of randomized rumor spreading protocols
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Spectral sparsification of graphs: theory and algorithms
Communications of the ACM
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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].