Correlated Edge Overlaps in Multiplex Networks

Autor:	Baxter, Gareth J., Bianconi, Ginestra, da Costa, Rui A., Dorogovtsev, Sergey N., Mendes, José F. F.
Rok vydání:	2016
Předmět:	Physics - Physics and Society Condensed Matter - Disordered Systems and Neural Networks
Zdroj:	Phys. Rev. E 94, 012303 (2016)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.94.012303
Popis:	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. Comment: 9 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.03447 Zobrazit plný text záznamu View this record from Arxiv