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What and Who

Rumor Spreading and Graph Conductance

George Giakkoupis
CNRS Paris
Talk
AG 1, AG 3, AG 5, SWS, AG 4, RG1, MMCI  
AG Audience
English

Date, Time and Location

Thursday, 24 February 2011
14:00
30 Minutes
E1 4
TBD
Saarbrücken

Abstract

We study the connection between the rate at which a rumor spreads

throughout a graph and the conductance of the graph---a standard measure
of a graph's expansion properties.
We show that for any n-node graph with conductance phi, the classical
PUSH-PULL algorithm distributes a rumor to all nodes of the graph in
O((1/phi)log n) rounds with high probability.
This bound is tight in the sense that there exist graphs where at least
that many rounds are needed.

Contact

Thomas Sauerwald
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Thomas Sauerwald, 02/17/2011 00:53
Thomas Sauerwald, 02/11/2011 07:17
Thomas Sauerwald, 02/09/2011 18:30 -- Created document.