| 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)
|
|