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Properties common to many large-scale networks, independently of their origin and function
 

Summary: Properties common to many large-scale networks, independently of
their origin and function:
1. The degree and betweenness distribution are decreasing
functions, usually power-laws.
2. The distances scale logarithmically with the network size
3. The clustering coefficient does not seem to depend on the
network size
As though all these networks were part of the same family/class.
Universality in large-scale networks
klog
Nlog
l
kC
The average distance and clustering coefficient only depend on the
number of nodes and edges in the network.
This suggests that general models based only on the number of
nodes and edges in the network could be successful in describing
the properties of an "expected" (characteristic) network.
Random network: distributes the edges randomly among nodes.
Probabilistic interpretation:

  

Source: Albert, Réka - Departments of Biology & Physics, Pennsylvania State University

 

Collections: Biology and Medicine