Dynamic domain networks |
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Authors: | M N Kuperman M Ballard F Laguna |
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Institution: | (1) Centro Atómico Bariloche and Instituto Balseiro, 8400 S. C. de Bariloche, Argentina;(2) Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, Argentina |
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Abstract: | A model for a dynamic network consisting of changing
local interactions is presented in this work. While the network
maintains solely local connections, certain properties known only
to Small World Networks may be extracted due to the dynamic nature
of the model. At each time step the individuals are grouped into
clusters creating neighborhoods or domains of fully connected
agents. The boundaries of these domains change in time,
corresponding to a situation where the links between individuals
are dynamic only throughout the history of the network. A question
that we pose is whether our model, which maintains a local
structure such that diffusion calculations are possible, might
lead to analytic or conceptual advances for the much more
complicated case of diffusion on a static disordered network that
exhibits the same macroscopic properties as our dynamic
ordered network. To answer this, we compare certain properties
which characterize the dynamic domain network to those of a Small
World Network, and then analyze the diffusion coefficients for
three possible domain mutations. We close with a comparison and
confirmation of previous epidemiological work carried out on
networks. |
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Keywords: | 89 75 Hc Networks and genealogical trees 89 65 -s Social and economic systems |
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