Growing network with j-redirection

Details Growing network with j-redirection Growing network with j-redirection

2006-12-14

arxiv.org/abs/physics/0612148v2

EPL, 77 (2007) 58002

Physics

Physics and Society

7 pages

Scientific paper

10.1209/0295-5075/77/58002

A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length j arriving at this node. In detail, when a new node enters the network, it either connects to a randomly selected node, or to the j -ancestor of this selected node. The j -ancestor is found by following j links from the randomly selected node. The system is shown to undergo a transition to a phase where condensates develop. We also find analytical predictions for the height statistics and show numerically the non-trivial behaviour of the degree distribution.

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