Discrete small world networks
Andrew D Barbour, University of Zurich
Gesine D Reinert, University of Oxford
Abstract
Small world models are networks consisting of many local links and
fewer long range `shortcuts', used to model networks with a high
degree of local clustering but relatively small diameter. Here,
we concern ourselves with the distribution of typical
inter-point network distances. We establish approximations to the
distribution of the graph distance in a discrete ring network
with extra random links, and compare the results to those for
simpler models, in which the extra links have zero length and
the ring is continuous.
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