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The Seventh Link: Rich Gets Richer

 

Porto

"Once a prominent merchant port of the Portuguese empire, Porto today gives the impression of a forgotten city. Built where the slow-moving Duoro river wends its way to the Atlantic through the steep hills guarding the seashore, it carries the signature of a busy medieval town strategically located at an easily defensible narrow key." (Linked, pg. 79). 

(from http://www.far-and-near.com/images/porto/port051.jpg)

 

Jose Mendes,
from University of Porto, who together with Maria Santos organized in 1999 a workshop on nonequilibrium systems.


(from http://www.fc.up.pt/fis/jfmendes/)

 

 

The Science paper concieved and started in Porto.

(from http://www.nd.edu/~networks)

 

 

Tim Berners Lee, the creator of the first page on the World Wide Web.

(from http://www.w3.org/People/Berners-Lee/)
 

 

 

A picture of the first node of the www, Tim Berners Lee's CERN Webpage (for information on the picture, see
http://www.w3.org/People/Berners-Lee/WorldWideWeb.html.

(from http://www.w3.org/History/1994/WWW/Journals/CACM/screensnap2_24c.gif)

 

 

Hollywood is a growing network. Indeed, the number of actors steadily increased with time. The plot shows the number of actors in the IMDB database in each consecutive year.

(After Hawoong Jeong).

 

 

 

 

Model A: The Physica A paper, which discusses in detail Model A, a growing network model that incorporates the growing character of the network, without preferential attachment.


(from http://www.nd.edu/~networks)

 

  

The Birth of a scale-free network. The scale-free topology is a natural consequence of the ever expanding nature of real networks. Starting from two connected nodes (top left), in each panel a new node (shown as an empty circle) is added to the network. When deciding where to link, new nodes preper to attach to the more connected nodes. Thanks to growth and preferential attachment, a few highly connected hubs emerge.
(From Linked, after Hawoong Jeong)

 

 

A scale-free network of 130 nodes generated by the scale-free model. The five biggest nodes are shown in red, and they are in contact with 60% of nodes (green).

(from http://www.nd.edu/~networks)

 

Luis Amaral(right), with Antonio Scala, Mark Barthelemy, and Gene Stanley (left) were one of the first people to investigate the effect of aging and cost on the  scale-free model.

(from http://polymer.bu.edu/hes.html and fromhttp://polymer.bu.edu/~amaral/)

 

 

 

Jose Mendes and Sergey Dorogotsev's first paper discussing the effect of gradual aging on the scale-free model  

(from http://www.fc.up.pt/fis/jfmendes/pub_net.html)

 

 

Paul Krapivsky and Sid Render, who showed that if preferential attachment is not linear, the scale-free topology can dissapear.

(from http://cbd.bu.edu/members/sredner.html)

 

 

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Copyright (c) 2002 Albert-Laszlo Barabasi All rights reserved.
alb@nd.edu