Module org.jgrapht.core
Package org.jgrapht.generate

Class BarabasiAlbertGraphGenerator<V,E>

java.lang.Object
org.jgrapht.generate.BarabasiAlbertGraphGenerator<V,E>
Type Parameters:
V - the graph vertex type
E - the graph edge type
All Implemented Interfaces:
GraphGenerator<V,E,V>
public class BarabasiAlbertGraphGenerator<V,E> extends Object implements GraphGenerator<V,E,V>
Barabási-Albert growth and preferential attachment graph generator.

The generator is described in the paper: A.-L. Barabási and R. Albert. Emergence of scaling in random networks. Science, 286:509-512, 1999.

The generator starts with a complete graph of $m_0$ nodes and grows the network by adding $n - m_0$ additional nodes. The additional nodes are added one by one and each of them is connected to $m$ previously added nodes, where the probability of connecting to a node is proportional to its degree.

Note that the Barabàsi-Albert model is designed for undirected networks. Nevertheless, this generator also works with directed networks where the probabilities are proportional to the sum of incoming and outgoing degrees. For a more general discussion see the paper: M. E. J. Newman. The Structure and Function of Complex Networks. SIAM Rev., 45(2):167--256, 2003.

For a version that generates trees/forests see BarabasiAlbertForestGenerator.

Author:
Dimitrios Michail

  • Constructor Details

    • BarabasiAlbertGraphGenerator

      public BarabasiAlbertGraphGenerator(int m0, int m, int n)
      Constructor
      Parameters:
      m0 - number of initial nodes
      m - number of edges of each new node added during the network growth
      n - final number of nodes
      Throws:
      IllegalArgumentException - in case of invalid parameters

    • BarabasiAlbertGraphGenerator

      public BarabasiAlbertGraphGenerator(int m0, int m, int n, long seed)
      Constructor
      Parameters:
      m0 - number of initial nodes
      m - number of edges of each new node added during the network growth
      n - final number of nodes
      seed - seed for the random number generator
      Throws:
      IllegalArgumentException - in case of invalid parameters

    • BarabasiAlbertGraphGenerator

      public BarabasiAlbertGraphGenerator(int m0, int m, int n, Random rng)
      Constructor
      Parameters:
      m0 - number of initial nodes
      m - number of edges of each new node added during the network growth
      n - final number of nodes
      rng - the random number generator to use
      Throws:
      IllegalArgumentException - in case of invalid parameters

  • Method Details

    • generateGraph

      public void generateGraph(Graph<V,E> target, Map<String,V> resultMap)
      Generates an instance.
      Specified by:
      generateGraph in interface GraphGenerator<V,E,V>
      Parameters:
      target - the target graph
      resultMap - not used by this generator, can be null