Transition from small to large world in growing networks
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Europhysics Letters 81 (3): 30004 (February 2008)

We examine the global organization of growing networks in which a new vertex is attached to already existing ones with a probability depending on their age. We find that the network is infinite or finite dimensional depending on whether the attachment probability decays slower or faster than (age)−1. The network becomes one dimensional when the attachment probability decays faster than (age)−2. We describe structural characteristics of these phases and transitions between them.
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