Abstract

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.

Notes

Originally published in Physical Review E 71(2), 2005. doi:10.1103/PhysRevE.71.025103

Keywords

complex networks, subgraphs

Subject Categories

Paths and cycles (Graph theory)

Disciplines

Physics

Publisher

The American Physical Society

Publication Date

2-2005

Rights Holder

©2005 The American Physical Society

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Included in

Physics Commons

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