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Réka Albert

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21 October 1999

Réka AlbertKorrents 21 Oct 1999

From one piece Barabasi & Albert, "Emergence of scaling in random networks" (arXiv) 4 beliefs, in the piece's order there

korrents.com
Because two generic mechanisms reproduce the observed distributions, large networks are governed by self-organizing rules that do not depend on what the network is made of.

network science

Their words

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.

arxiv.org
korrents.com
Scale-free structure follows from just two mechanisms: networks keep adding nodes, and new nodes attach preferentially to well-connected ones.

network science

Their words

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.

arxiv.org
korrents.com
Large real-world networks share one property: the number of connections per node follows a scale-free power law.

network science

Their words

A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution.

arxiv.org

+ 1 more

korrents.com
Systems as different as a genome and the web are best described as networks with complex topology rather than as ordered or random structures.

network science

Their words

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology.

arxiv.org

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