Transport on weighted Networks: when correlations are independent of degree

Details Transport on weighted Networks: when correlations are independent of degree Transport on weighted Networks: when correlations are independent of degree

2006-09-29

arxiv.org/abs/cond-mat/0609776v3

Phys. Rev. E 76, 066106 (2007).

Physics

Condensed Matter

Statistical Mechanics

8 pages, 8 figures

Scientific paper

10.1103/PhysRevE.76.066106

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the correlations beyond the degree dependent case. We propose a simple method to introduce weight-weight correlations in topologically uncorrelated graphs. This allows us to test different measures to discriminate between the different correlation types and to quantify their intensity. We also discuss here the effect of weight correlations on the transport properties of the networks, showing that positive correlations dramatically improve transport. Finally, we give two examples of real-world networks (social and transport graphs) in which weight-weight correlations are present.

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