Introduction to Networks of Networks.

Intro
Preface
Acknowledgements
Author biographies
Jianxi Gao
Amir Bashan
Louis Shekhtman
Shlomo Havlin
Chapter 1 Basic concepts of single networks
1.1 Introduction
1.2 Degree distribution-how networks are structured?
1.2.1 Types of networks
1.2.2 Degree and degree distributions
1.2.3 Generating functions
1.3 Percolation transition-how a network collapses?
1.3.1 Failure and attack
1.3.2 Calculating the size of the giant component
1.3.3 Calculating the critical threshold
1.4 Further network properties
1.5 Spatial networks
References
Chapter 2 From single networks to networks of networks
2.1 Introduction
2.2 How networks network?
2.2.1 When a single network is not enough: examples of interacting networks
2.2.2 Zoology of network of networks
2.3 Key phenomena in network of networks
2.3.1 Cascading failures in interdependent networks
2.3.2 Increased robustness of interconnected networks
2.3.3 Dynamics on network of networks
References
Chapter 3 A pair of interdependent networks
3.1 Introduction
3.2 Different types of dependency between networks
3.2.1 Feedback condition
3.2.2 No-feedback condition
3.2.3 Multiple support
3.3 Random failures
3.3.1 Fully interdependent networks
3.3.2 Partially interdependent networks
3.3.3 Networks with multiple support
3.3.4 Interconnected networks
3.3.5 Antagonistic networks
3.4 Targeted attack on partially interdependent networks
References
Chapter 4 Robustness of networks composed of interdependent networks
4.1 Introduction
4.2 Structures of networks of networks (NON)
Loopless network of networks
Loop-like network of networks
Random regular network of random networks
Replica nodes in network of networks
4.3 Cascading failures in a network of networks.

4.3.1 Dynamic process
4.3.2 Identical steady state results for all tree-like structures
4.3.3 General stationary state
4.4 Percolation of network of networks
4.4.1 Percolation of tree-like network of networks
4.4.2 Percolation of an RR NON composed of random networks
4.5 Comparing feedback and no-feedback conditions
4.6 Vulnerability of network of networks for a large number of networks
References
Chapter 5 Spatially embedded interdependent networks
5.1 Introduction
5.2 The extreme vulnerability of semi-spatial interdependent networks
5.2.1 Percolation transition in semi-spatial interdependent networks
5.2.2 In semi-spatial interdependent networks qc=0
5.2.3 Critical exponents of the percolation transition
5.3 Semi-spatial model of network of networks
5.3.1 Tree-like network of interdependent networks
5.3.2 Star-like network of interdependent networks
5.3.3 Random regular network formed of interdependent spatially embedded networks
5.4 Fully-spatial interdependent networks: propagation of cascading failures
5.5 Effect of dependency link length, the r-model
5.5.1 Theoretical model of spatial failure propagation
5.5.2 Cascades propagation due to random failures
5.6 Effect of connectivity link length, the ζ-model
The spatial multiplex ζ-model
5.7 Localized attacks
5.7.1 Localized attacks on spatial networks with short-range dependency links
5.7.2 Localized attacks on spatial multiplexes
5.7.3 Spatial multiplexes with community structure
References
Chapter 6 Further features in networks of networks
6.1 Synchronization and dynamics on networks of networks
6.2 Different network structures in networks of networks
6.2.1 Clustering
6.2.2 Node correlations
6.2.3 Directed networks
6.2.4 Community structure.

6.3 Overlap and intersimilarity in networks of networks
6.4 Different percolation processes in networks of networks
6.4.1 Bond percolation
6.4.2 Reinforced nodes
6.4.3 Combining k-core and interdependent percolation
6.5 Multimodal transportation
6.6 Games on networks of networks
6.7 Controllability of a network of networks
6.8 Interdependent superconducting networks
References.