Abstract
We present a mathematical model to analyse the establishment and maintenance of communication between mobile agents. We assume that the agents move through a fixed environment modelled by a motion graph, and are able to communicate if they are at distance at most d. As the agents move randomly, we analyse the evolution in time of the connectivity between a set of w agents, asymptotically for a large number N of nodes, when w also grows large, and for different values of d. The particular topologies of the environment we study in this paper are the cycle and the toroidal grid.
The work of the first three authors was partially supported by the EU under contract 001907 (DELIS). The fourth author was supported by the Canada Research Chairs program. The first author was partially supported by the Distinció per a la Recerca de la GC, 2002.
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© 2005 Springer-Verlag Berlin Heidelberg
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Díaz, J., Pérez, X., Serna, M.J., Wormald, N.C. (2005). Connectivity for Wireless Agents Moving on a Cycle or Grid. In: Diekert, V., Durand, B. (eds) STACS 2005. STACS 2005. Lecture Notes in Computer Science, vol 3404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31856-9_29
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DOI: https://doi.org/10.1007/978-3-540-31856-9_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24998-6
Online ISBN: 978-3-540-31856-9
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