Distributed Broadcasting and Mapping Protocols in Directed Anonymous Networks

Langberg, Michael and Schwartz, Moshe and Bruck, Jehoshua (2007) Distributed Broadcasting and Mapping Protocols in Directed Anonymous Networks. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechPARADISE:2007.ETR084]

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Abstract

We initiate the study of distributed protocols over directed anonymous networks that are not necessarily strongly connected. In such networks, nodes are aware only of their incoming and outgoing edges, have no unique identity, and have no knowledge of the network topology or even bounds on its parameters, like the number of nodes or the network diameter. Anonymous networks are of interest in various settings such as wireless ad-hoc networks and peer to peer networks. Our goal is to create distributed protocols that reduce the uncertainty by distributing the knowledge of the network topology to all the nodes. We consider two basic protocols: broadcasting and unique label assignment. These two protocols enable a complete mapping of the network and can serve as key building blocks in more advanced protocols. We develop distributed asynchronous protocols as well as derive lower bounds on their communication complexity, total bandwidth complexity, and node label complexity. The resulting lower bounds are sometimes surprisingly high, exhibiting the complexity of topology extraction in directed anonymous networks.

EPrint Type:	Monograph (Technical Report)
Additional Information:	This work was supported in part by the Caltech Lee Center for Advanced Networking and by NSF grant ANI-0322475. Also available from http://www.paradise.caltech.edu/papers/etr084.pdf
Uncontrolled Keywords:	Anonymous networks, directed networks, distributed protocols
Subjects:	All Records
ID Code:	111
Deposited By:	Caltech Library System
Deposited On:	27 July 2007
Record Number:	CaltechPARADISE:2007.ETR084
Official Persistent URL:	http://resolver.caltech.edu/CaltechPARADISE:2007.ETR084
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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