Universal Properties of Growing Networks

Details Universal Properties of Growing Networks Universal Properties of Growing Networks

2004-08-09

arxiv.org/abs/cond-mat/0408161v1

Physica A 340 (2004) 714--724

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 1 figure

Scientific paper

10.1016/j.physa.2004.05.020

Networks growing according to the rule that every new node has a probability p_k of being attached to k preexisting nodes, have a universal phase diagram and exhibit power law decays of the distribution of cluster sizes in the non-percolating phase. The percolation transition is continuous but of infinite order and the size of the giant component is infinitely differentiable at the transition (though of course non-analytic). At the transition the average cluster size (of the finite components) is discontinuous.

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