Configuration model

Figure 1. Degree sequence and different network realizations in the configuration model[1]

In network science, the Configuration Model is a family of random graph models designed to generate networks from a given degree sequence. Unlike simpler models such as the Erdős–Rényi model, Configuration Models preserve the degree of each vertex as a pre-defined property. This flexibility allows the modeler to construct networks with arbitrary degree distributions, making it widely used as a reference model for real-life networks, particularly in social, biological, and technological domains. The concept of "Configuration Model" was first introduced by Béla Bollobás, who laid the foundation for its application in graph theory and network science.[2]

  1. ^ Network Science by Albert-László Barabási.
  2. ^ Bollobás, B. (1980). A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. European Journal of Combinatorics, 1(4), 311-316.

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