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 shifts in the overall subgraph spectrum and to an inevitable overrepresentation of some subgraphs and cycles.
complex networks, subgraphs
Paths and cycles (Graph theory)
The American Physical Society
©2005 The American Physical Society
Vázquez, Alexei; Oliveira, J. G.; and Barabási, Albert-László, "Inhomogeneous evolution of subgraphs and cycles in complex networks" (2005). Physics Faculty Publications. Paper 116. http://hdl.handle.net/2047/d20000689
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