Paper Info
Title
Asynchronous Rumor Spreading on Random Graphs.
Abstract
We perform a thorough study of various characteristics of the asynchronous push---pull protocol for spreading a rumor on Erdźs---Rényi random graphs $$G_{n,p}$$Gn,p, for any $$pc\\ln (n)/n$$pcln(n)/n with $$c1$$c1. In particular, we provide a simple strategy for analyzing the asynchronous push---pull protocol on arbitrary graph topologies and apply this strategy to $$G_{n,p}$$Gn,p. We prove tight bounds of logarithmic order for the total time that is needed until the information has spread to all nodes. Surprisingly, the time required by the asynchronous push---pull protocol is asymptotically almost unaffected by the average degree of the graph. Similarly tight bounds for Erdźs---Rényi random graphs have previously only been obtained for the synchronous push protocol, where it has been observed that the total running time increases significantly for sparse random graphs. Finally, we quantify the robustness of the protocol with respect to transmission and node failures. Our analysis suggests that the asynchronous protocols are particularly robust with respect to these failures compared to their synchronous counterparts.
Year
DOI
Venue
2016
10.1007/s00453-016-0188-x
Algorithmica
Keywords
DocType
Volume
Gossip algorithms,Asynchronous rumor spreading,Push–pull protocol,Random graphs
Journal
78
Issue
ISSN
Citations 
3
Algorithmica, 1-22 (2016)
4
PageRank 
References 
Authors
0.40
10
2
Name
Order
Citations
PageRank
Konstantinos Panagiotou129027.80
Leo Speidel2181.42