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Time-varying graphs and dynamic networks

Casteigts, Arnaud and Flocchini, Paola and Quattrociocchi, Walter and Santoro, Nicola Time-varying graphs and dynamic networks. International Journal of Parallel, Emergent and Distributed Systems, 27 (5). pp. 387-408. ISSN 1744-5760 (2012)

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The past few years have seen intensive research efforts carried out in some apparently unrelated areas of dynamic systems – delay-tolerant networks, opportunistic-mobility networks and social networks – obtaining closely related insights. Indeed, the concepts discovered in these investigations can be viewed as parts of the same conceptual universe, and the formal models proposed so far to express some specific concepts are the components of a larger formal description of this universe. The main contribution of this paper is to integrate the vast collection of concepts, formalisms and results found in the literature into a unified framework, which we call time-varying graphs (TVGs). Using this framework, it is possible to express directly in the same formalism not only the concepts common to all those different areas, but also those specific to each. Based on this definitional work, employing both existing results and original observations, we present a hierarchical classification of TVGs; each class corresponds to a significant property examined in the distributed computing literature. We then examine how TVGs can be used to study the evolution of network properties, and propose different techniques, depending on whether the indicators for these properties are atemporal (as in the majority of existing studies) or temporal. Finally, we briefly discuss the introduction of randomness in TVGs.

Item Type: Article
Identification Number: 10.1080/17445760.2012.668546
Uncontrolled Keywords: delay-tolerant networks, opportunistic networks, social networks, dynamic graphs, time-varying graphs, distributed computing
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 23 Jan 2014 09:13
Last Modified: 23 Jan 2014 09:13
URI: http://eprints.imtlucca.it/id/eprint/2111

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