Multilayer networks
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GROUP AND ALUMNI
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Rarely complex systems are described by a single network. Multilayer networks formed by several coexisting and interacting networks describe the vast majority of complex systems ranging from social networks to the brain.
I have recently worked on multilayer networks tackling a variety of subjects:- I have formulated models of multilayer networks with correlated network structure (overlap of the links, correlation between the degrees in different layers heterogeneous activty of the nodes, weight degree correlations, overlapping community structure) using ensembles of networks and growing network models. In this context I introduced the very useful concept of multilink (see figure).
- I have characherized the dynamics on multilayer networks including percolation in multiplex networks and network of networks; model of percolation and social networks with competition (antagonism) between the layers; random walk for defining the Multiplex PageRank of multiplex networks.
Selected publications
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S. Boccaletti, G. Bianconi, R. Criado, C. del Genio, J. Gomez-Gardenes, M. Romance, I. Sendina-Nadal, Z. Wang, M. Zanin
Structure and Dynamics of Multilayer Networks
Physics Reports 544,1 (2014) -
Ginestra Bianconi,
Statistical Mechanics of Multiplex Networks: Entropy and Overlap
Phys. Rev. E 87,062806 (2013) -
Giulia Menichetti, Daniel Remondini, Pietro Panzarasa, Raul J. Mondragon and Ginestra Bianconi
Weighted Multiplex Networks
PloSOne 9 e97857 (2014) -
D. Cellai and G. Bianconi,
Multiplex networks with heterogeneous activities of the nodes
Physical Review E 93, 032302 (2016).
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Arda Halu, Raul J. Mondragon, P. Panzarasa and Ginestra Bianconi,
Multiplex PageRank
PloS One 8,e78293 (2013) -
Vincenzo Nicosia, Ginestra Bianconi,Vito Latora and Marc Barthelemy
Growing multiplex networks
Phys. Rev. Lett. 111,058701 (2013) - G. Bianconi, Multilayer Networks: Dangerous Liaison? Nature Physics 10, 712 (2014)
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G. Bianconi and S.N. Dorogovstev
Multiple percolation transitions in a configuration model of a network of networks
Phys. Rev. E 89 062814 (2014) -
D. Cellai, E. Lopez, J. Zhou, J. Gleeson and G. Bianconi,
Percolation in multiplex networks with overlap
Phys. Rev. E 88,052811 (2013) -
G. Bianconi, S. N. Dorogovtsev, J. F. F. Mendes,
Mutually connected component of network of networks with replica nodes
Phys. Rev. E, 91 012804 (2015). -
Arda Halu, Kun Zhao, Andrea Baronchelli and Ginestra Bianconi,
Connect and win: The role of social networks in political elections
EPL 102,16002 (2013) -
Kun Zhao and Ginestra Bianconi,
Percolation on interacting, antagonistic networks
J. Stat. Mech. P05005 (2013) -
Kun Zhao and Ginestra Bianconi,
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A. Halu, S. Mukherjee and G. Bianconi,
Emergence of overlap in ensembles of spatial multiplexes and statistical mechanics of spatial interacting network ensembles
Phys. Rev. E 89 012806 (2014) -
J. Iacovacci, Z. Wu and G. Bianconi,
Mesoscopic structures reveal the network between the layers of multiplex data sets,
Phys. Rev. E 92, 042806 (2015).