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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Exploration of Periodically Varying Graphs
verfasst von : Paola Flocchini, Bernard Mans, Nicola Santoro
Erschienen in: Algorithms and Computation
Verlag: Springer Berlin Heidelberg
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We study the computability and complexity of the
exploration problem
in a class of highly dynamic graphs:
periodically varying
(PV) graphs, where the edges exist only at some (unknown) times defined by the periodic movements of carriers. These graphs naturally model highly dynamic infrastructure-less networks such as public transports with fixed timetables, low earth orbiting (LEO) satellite systems, security guards’ tours, etc. We establish necessary conditions for the problem to be solved. We also derive lower bounds on the amount of time required in general, as well as for the PV graphs defined by restricted classes of carriers movements: simple routes, and circular routes. We then prove that the limitations on computability and complexity we have established are indeed tight. We do so constructively presenting two worst case optimal solution algorithms, one for anonymous systems, and one for those with distinct nodes ids.