Interconnecting bilayer networks

@article{Xu2011InterconnectingBN,
  title={Interconnecting bilayer networks},
  author={Xiu-Lian Xu and Yan-Qin Qu and Shan Guan and Yu-Mei Jiang and Da-Ren He},
  journal={ArXiv},
  year={2011},
  volume={abs/1101.0407}
}
A typical complex system should be described by a supernetwork or a network of networks, in which the networks are coupled to some other networks. As the first step to understanding the complex systems on such more systematic level, scientists studied interdependent multilayer networks. In this letter, we introduce a kind of interdependent multilayer networks, i.e., interconnecting networks, for which the component networks are coupled each other by sharing some common nodes. Based on the… 

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References

SHOWING 1-10 OF 14 REFERENCES
Empirical study on some interconnecting bilayer networks
TLDR
A model showing an important general property of the bilayer networks is proposed and the analytic discussion of the model is compared with empirical conclusions, and all the empirical observations are presented.
Robustness of a Network of Networks
TLDR
A general analytical framework for studying percolation of n interdependent networks is developed and it is shown that for any tree of n fully dependent Erdős-Rényi networks, each of average degree k, the giant component is P∞ = p[1-exp(-kP∞)](n) where 1-p is the initial fraction of removed nodes.
Some collaboration-competition bipartite networks
TLDR
The definition of the networks and their node weights, the node weight distributions, as well as the evolution durations of 15 real world collaboration-competition systems which are belonging to diverse fields are presented.
Supernetworks: Decision-Making for the Information Age
TLDR
The authors provide a unifying framework for the study of decision-making by a variety of economic agents including consumers and producers as well as distinct intermediaries in the context of today's networked economy.
Nature
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2010
Physica A
  • Physica A
  • 2005
Phys. Rev. E
  • Phys. Rev. E
  • 2007
D.-R., arXiv:0910.2516v2 [physics.soc-ph
  • Phys. Lett.,
  • 2010
Physica A
  • Physica A
  • 2007
...
...