Interconnectivity structure of a general interdependent network

Physical Review E

Volumn 93, Issue 4, 2016, Pages

  Van Mieghem, P ^a  

^a Department of Microelectronics   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

DYNAMIC PROCESS; EQUITABLE PARTITIONS; INTERCONNECTED NETWORK; INTERCONNECTION PATTERNS; INTERCONNECTIVITY; LAPLACIAN MATRICES; TOPOLOGICAL STRUCTURE; TWO-LAYER NETWORK;

NETWORK LAYERS;

EID: 84963579596     PISSN: 24700045     EISSN: 24700053     Source Type: Journal    
DOI: 10.1103/PhysRevE.93.042305     Document Type: Article

References (21)

1. P. Van Mieghem, Performance Analysis of Complex Networks and Systems (Cambridge University Press, Cambridge, 2014).
2. S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Catastrophic cascade of failures in interdependent networks, Nat. Lett. 464, 1025 (2010). NATUAS 0028-0836 10.1038/nature08932
3. F. D. Sahneh, C. Scoglio, and P. Van Mieghem, Coupling threshold for structural transition in interconnected networks, Phys. Rev. E 92, 040801 (2015). PLEEE8 1539-3755 10.1103/PhysRevE.92.040801
4. M. De Domenico, A. Solé-Ribalta, E. Cozzo, M. Kivelä, Y. Moreno, M. A. Porter, S. Gómez, and A. Arenas, Mathematical Formulation of Multilayer Networks, Phys. Rev. X 3, 041022 (2013). 10.1103/PhysRevX.3.041022
5. C. J. Stam, E. C. W. van Straaten, E. Van Dellen, P. Tewarie, G. Gong, A. Hillebrand, J. Meier, and P. Van Mieghem, The relation between structural and functional connectivity patterns in complex brain networks, Int. J. Psychophysiol. (to be published). 10.1016/j.ijpsycho.2015.02.011
6. P. Tewarie, A. Hillebrand, B. W. van Dijk, C. J. Stam, G. C. O'Neill, P. Van Mieghem, J. Meier, M. W. Woolrich, P. G. Morris, and M. J. Brookes, Integrating cross-frequency and within band functional networks in resting-state meg: a multi-layer network approach, NeuroImage (to be published).
7. P. Van Mieghem, F. D. Sahneh, and C. Scoglio, Exact Markovian SIR and SIS epidemics on networks and an upper bound for the epidemic threshold, Proceedings of the 53rd IEEE Conference on Decision and Control (CDC2014), Los Angeles (IEEE, Piscataway, 2014).
8. P. Van Mieghem, Approximate formula and bounds for the time-varying SIS prevalence in networks (unpublished).
9. F. Radicchi, Driving interconnected networks to supercriticality, Phys. Rev. X 4, 021014 (2014). 10.1103/PhysRevX.4.021014
10. L. M. Shekhtman, S. Shai, and S. Havlin, Resilience of networks formed of interdependent modular networks, New J. Phys. 17, 123007 (2015). NJOPFM 1367-2630 10.1088/1367-2630/17/12/123007
11. H. Wang, Q. Li, G. D'Agostino, S. Havlin, H. E. Stanley, and P. Van Mieghem, Effect of the interconnected network structure on the epidemic threshold, Phys. Rev. E 88, 022801 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.022801
12. J. Martin-Hernandez, H. Wang, P. Van Mieghem, and G. D'Agostino, Algebraic connectivity of interdependent networks, Physica A 404, 92 (2014). PHYADX 0378-4371 10.1016/j.physa.2014.02.043
13. P. Van Mieghem, Graph Spectra for Complex Networks (Cambridge University Press, Cambridge, 2011).
14. P. Van Mieghem and J. Omic, Inhomogeneous virus spread in networks, Delft University of Technology, Report 2008081;
15. arXiv:1306.2588.
16. P. Van Mieghem, Graph eigenvectors, fundamental weights and centrality metrics for nodes in networks, Delft University of Technology, Report 20150808;
17. arXiv:1401.4580.
18. F. Radicchi and A. Arenas, Abrupt transition in structural formation of interconnected networks, Nat. Phys. 9, 717 (2013). 1745-2473 10.1038/nphys2761
19. H. Shakeri, N. Albin, F. D. Sahneh, P. Poggi-Corradini, and C. Scoglio, Maximizing algebraic connectivity in interconnected networks, Phys. Rev. E 93, 030301 (R) (2016). 10.1103/PhysRevE.93.030301
20. M. Fiedler, Algebraic connectivity of graphs, Czech. Math. J. 23, 298 (1973).
21. X. Wang and P. Van Mieghem, Orthogonal eigenvector matrix of the Laplacian, Fourth International IEEE Workshop on Complex Networks and their Applications, Bangkok, Thailand (IEEE, Piscataway, 2015).