Inhomogeneous evolution of subgraphs and cycles in complex networks.

  title={Inhomogeneous evolution of subgraphs and cycles in complex networks.},
  author={Alexei Vazquez and J. Gama Oliveira and Albert-L{\'a}szl{\'o} Barab{\'a}si},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={71 2 Pt 2},
Subgraphs and cycles are often used to characterize the local properties of complex networks. Here we show that the subgraph structure of real networks is highly time dependent: as the network grows, the density of some subgraphs remains unchanged, while the density of others increase at a rate that is determined by the network's degree distribution and clustering properties. This inhomogeneous evolution process, supported by direct measurements on several real networks, leads to systematic… CONTINUE READING

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