Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-08-30
Phys. Rev. E 76, 046111 (2007)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 6 figures
Scientific paper
10.1103/PhysRevE.76.046111
Random networks are intensively used as null models to investigate properties of complex networks. We describe an efficient and accurate algorithm to generate arbitrarily two-point correlated undirected random networks without self- or multiple-edges among vertices. With the goal to systematically investigate the influence of two-point correlations, we furthermore develop a formalism to construct a joint degree distribution $P(j,k)$ which allows to fix an arbitrary degree distribution $P(k)$ and an arbitrary average nearest neighbor function $\knn(k)$ simultaneously. Using the presented algorithm, this formalism is demonstrated with scale-free networks ($P(k) \propto k^{-\gamma}$) and empirical complex networks ($P(k)$ taken from network) as examples. Finally, we generalize our algorithm to annealed networks which allows networks to be represented in a mean-field like manner.
Porto Markus
Weber Sebastian
No associations
LandOfFree
Generation of arbitrarily two-point correlated random 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 Generation of arbitrarily two-point correlated random networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generation of arbitrarily two-point correlated random networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-206075