Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-06-21
Physical Review E 76, 056121 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
20 pages, 4 figures
Scientific paper
10.1103/PhysRevE.76.056121
The traditional node percolation map of directed networks is reanalyzed in terms of edges. In the percolated phase, edges can mainly organize into five distinct giant connected components, interfaces bridging the communication of nodes in the strongly connected component and those in the in- and out-components. Formal equations for the relative sizes in number of edges of these giant structures are derived for arbitrary joint degree distributions in the presence of local and two-point correlations. The uncorrelated null model is fully solved analytically and compared against simulations, finding an excellent agreement between the theoretical predictions and the edge percolation map of synthetically generated networks with exponential or scale-free in-degree distribution and exponential out-degree distribution. Interfaces, and their internal organization giving place from "hairy ball" percolation landscapes to bottleneck straits, could bring new light to the discussion of how structure is interwoven with functionality, in particular in flow networks.
Los Rios Paolo de
Serrano Ángeles M.
No associations
LandOfFree
Interfaces and the edge percolation map of random directed networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Interfaces and the edge percolation map of random directed networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interfaces and the edge percolation map of random directed networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-192716