Assortativity in random line graphs

Details Assortativity in random line graphs Assortativity in random line graphs

2009-08-21

arxiv.org/abs/0908.3180v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 6 figures

Scientific paper

We investigate the degree-degree correlations in the Erdos-Renyi networks, the growing exponential networks and the scale-free networks. We demonstrate that these correlations are the largest for the exponential networks. We calculate also these correlations in the line graphs, formed from the considered networks. Theoretical and numerical results indicate that all the line graphs are assortative, i.e. the degree-degree correlation is positive.

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