Title
Enumeration and Leader Election in Partially Anonymous and Multi-hop Broadcast Networks
Abstract
We address the enumeration and the leader election problems over partially anonymous and multi-hop broadcast networks. We consider an asynchronous communication model where each process broadcasts a message and all its neighbours receive this message after arbitrary and unpredictable time. In this paper, we present necessary conditions that must be satisfied by any graph to solve these problems and we show that these conditions are sufficient by providing an enumeration algorithm on the one hand and a leader election algorithm on the other hand. For both problems, we highlight the importance of the initial knowledge. Considering the enumeration problem, each process only knows the size of the graph and, contrary to related works, the number of its neighbouring processes is unknown. Whereas for the election problem, we show that this combination of knowledge is not sufficient. Our algorithm assumes that each process initially knows a map of the network (without knowing its position in this map). From the complexity viewpoint, our algorithms offer polynomial complexities (memory at each process, number and size of exchanged messages).
Year
DOI
Venue
2012
10.3233/FI-2012-747
Fundam. Inform.
Keywords
Field
DocType
partially anonymous,leader election problem,leader election algorithm,neighbouring process,election problem,complexity viewpoint,leader election,enumeration problem,asynchronous communication model,initial knowledge,multi-hop broadcast networks,multi-hop broadcast network,enumeration algorithm,enumeration,broadcast,distributed computing,election
Leader election,Asynchronous communication,Graph,Discrete mathematics,Broadcasting,Polynomial,Enumeration,Theoretical computer science,Hop (networking),Enumeration algorithm,Mathematics
Journal
Volume
Issue
ISSN
120
1
0169-2968
Citations 
PageRank 
References 
4
0.44
17
Authors
3
Name
Order
Citations
PageRank
Jérémie Chalopin136432.39
Yves Métivier259453.83
Thomas Morsellino3101.26