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Emergence of scaling in random networks

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arxiv cond-mat/9910332 v1 pith:DRFOKOJM submitted 1999-10-21 cond-mat.dis-nn adap-orgcond-mat.stat-mechnlin.AO

classification cond-mat.dis-nnadap-orgcond-mat.stat-mechnlin.AO
keywords networkslargescale-freesystemsverticesadditionalreadyattach
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Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This feature is found to be a consequence of the two generic mechanisms that networks expand continuously by the addition of new vertices, and new vertices attach preferentially to already well connected sites. A model based on these two ingredients reproduces the observed stationary scale-free distributions, indicating that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Formalization of the generalized Pareto principle and structural typicality of the 20/80-rule

    physics.soc-ph 2026-02 unverdicted novelty 7.0 of 10

    A formalization of the generalized Pareto principle derives that exponential and normal distributions with 100 to 100,000 samples produce p values near 0.2, close to the 80/20 rule and below prior saturation conjectures.

  2. A resource- and computationally-efficient protocol for multipartite entanglement distribution in Bell-pair networks

    quant-ph 2024-12 conditional novelty 6.0 of 10

    A greedy star-merging protocol distributes GHZ states over arbitrary Bell-pair networks with O(N) gates, N-1 Bell pairs in the complete case, and a polynomial-time alternative to Steiner-tree-based methods.

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