Springer Berlin Heidelberg
Berlin, Heidelberg
Andrea
Clementi
en
2013-01-01
chapter
In this paper, we aim at analyzing the classical information spreading push protocol in dynamic networks. We consider the edge-Markovian evolving graph model which captures natural temporal dependencies between the structure of the network at time t, and the one at time t + 1. Precisely, a non-edge appears with probability p, while an existing edge dies with probability q. In order to fit with real-world traces, we mostly concentrate our study on the case where \(p=\Omega(\frac{1}{n})\) and q is constant. We prove that, in this realistic scenario, the push protocol does perform well, completing information spreading in O(logn) time steps, w.h.p., even when the network is, w.h.p., disconnected at every time step (e.g., when \(p\ll \frac{\log n}{n}\)). The bound is tight. We also address other ranges of parameters p and q (e.g., p + q = 1 with arbitrary p and q, and \(p=\Theta\left(\frac{1}{n}\right)\) with arbitrary q). Although they do not precisely fit with the measures performed on real-world traces, they can be of independent interest for other settings. The results in these cases confirm the positive impact of dynamism.
https://scigraph.springernature.com/explorer/license/
325-336
2013
http://link.springer.com/10.1007/978-3-642-40450-4_28
true
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2019-04-15T10:33
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Riccardo
Silvestri
Algorithms – ESA 2013
978-3-642-40449-8
978-3-642-40450-4
doi
10.1007/978-3-642-40450-4_28
Italiano
Giuseppe F.
Pierre
Fraigniaud
Isopi
Marco
Crescenzi
Pierluigi
58773dc08137b8776996f73307759e1a5b12001fd98c42a366833b6f414d4879
readcube_id
Alessandro
Panconesi
Università di Firenze, Italy
University of Florence
Doerr
Carola
dimensions_id
pub.1018567336
Francesco
Pasquale
Information Systems
Università Tor Vergata di Roma, Italy
University of Rome Tor Vergata
Hans L.
Bodlaender
Information and Computing Sciences
Université Paris Diderot and Max Planck Institute Saarbrücken, Germany
Springer Nature - SN SciGraph project
CNRS and Université Paris Diderot, France
Paris Diderot University
Sapienza University of Rome
Sapienza Università di Roma, Italy