Universal properties of growing networks

P.l Krapivsky and B Derrida

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 4, 714-724

Abstract: Networks growing according to the rule that every new node has a probability pk 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.

Keywords: Percolation; Infinite cluster; Growing networks; Berezinskii–Kosterlitz–Thouless transition (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:4:p:714-724

DOI: 10.1016/j.physa.2004.05.020

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