Correlated edge overlaps in multiplex networks

Baxter, Gareth J.; Bianconi, Ginestra; Costa}, Rui A. {Da; Dorogovtsev, Sergey N.; Mendes, José F F
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.
Research areas:
Year:
2016
Type of Publication:
Article
Journal:
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume:
94
Number:
1
Pages:
1-8
ISSN:
1550-2376
DOI:
10.1103/PhysRevE.94.012303
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