Using explosive percolation in analysis of real-world networks

Details Using explosive percolation in analysis of real-world networks Using explosive percolation in analysis of real-world networks

2010-10-15

arxiv.org/abs/1010.3171v2

Phys. Rev. E 83, 046112 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 4 figures. Published version. Elongated to include the results and figures of finite-size scaling and modularity anal

Scientific paper

10.1103/PhysRevE.83.046112

We apply a variant of the explosive percolation procedure to large real-world networks, and show with finite-size scaling that the university class, ordinary or explosive, of the resulting percolation transition depends on the structural properties of the network as well as the number of unoccupied links considered for comparison in our procedure. We observe that in our social networks, the percolation clusters close to the critical point are related to the community structure. This relationship is further highlighted by applying the procedure to model networks with pre-defined communities.

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