Correlated Edge Overlaps in Multiplex Networks
Physics and Society
2016-07-20 v2 Disordered Systems and Neural Networks
Abstract
We develop the theory of sparse multiplex networks with partially overlapping links based on their local tree-likeness. This theory enables us to find the giant mutually connected component in a two-layer multiplex network with arbitrary correlations between connections of different types. We find that correlations between the overlapping and non-overlapping links markedly change the phase diagram of the system, leading to multiple hybrid phase transitions. For assortative correlations we observe recurrent hybrid phase transitions.
Cite
@article{arxiv.1602.03447,
title = {Correlated Edge Overlaps in Multiplex Networks},
author = {Gareth J. Baxter and Ginestra Bianconi and Rui A. da Costa and Sergey N. Dorogovtsev and José F. F. Mendes},
journal= {arXiv preprint arXiv:1602.03447},
year = {2016}
}
Comments
9 pages, 5 figures