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  • 1
    Online Resource
    Online Resource
    Bristol :Institute of Physics Publishing,
    UID:
    almahu_9949767405302882
    Format: 1 online resource (176 pages)
    Edition: 1st ed.
    ISBN: 9780750310468
    Series Statement: IOP Ebooks Series
    Content: Our world relies on networks, from power grids to communications and biology. Yet such networks do not function in isolation, but rather depend on each other. An Introduction to Networks of Networks provides a framework for how to think about and model these systems.
    Note: 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.
    Additional Edition: Print version: Gao, Jainxi Introduction to Networks of Networks Bristol : Institute of Physics Publishing,c2022 ISBN 9780750318204
    Language: English
    Keywords: Electronic books.
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :IOP Publishing,
    UID:
    almahu_9949408810002882
    Format: 1 online resource (various pagings) : , illustrations (some color).
    ISBN: 9780750310468 , 9780750311168
    Series Statement: [IOP release $release]
    Content: As the field of network science has dramatically expanded, researchers have discovered that many networked systems no longer operate in isolation. For example, communications systems often depend on the power-grid to be operational. As our world becomes more and more interconnected and interdependent due to modern technologies, the interactions between networks have taken on increasing importance. In this book, several of the founders and leading researchers in interactions between networks present the key findings in the field, including the possibility of cascading failures between systems, and provide a framework and methods for analyzing 'networks of networks'. This book is an excellent introductory resource for scientists and graduate students in the field of complex networks in various disciplines.
    Note: "Version: 20220901"--Title page verso. , 1. Basic concepts of single networks -- 1.1. Introduction -- 1.2. Degree distribution--how networks are structured? -- 1.3. Percolation transition--how a network collapses? -- 1.4. Further network properties -- 1.5. Spatial networks , 2. From single networks to networks of networks -- 2.1. Introduction -- 2.2. How networks network? -- 2.3. Key phenomena in network of networks , 3. A pair of interdependent networks -- 3.1. Introduction -- 3.2. Different types of dependency between networks -- 3.3. Random failures -- 3.4. Targeted attack on partially interdependent networks , 4. Robustness of networks composed of interdependent networks -- 4.1. Introduction -- 4.2. Structures of networks of networks (NON) -- 4.3. Cascading failures in a network of networks -- 4.4. Percolation of network of networks -- 4.5. Comparing feedback and no-feedback conditions -- 4.6. Vulnerability of network of networks for a large number of networks , 5. Spatially embedded interdependent networks -- 5.1. Introduction -- 5.2. The extreme vulnerability of semi-spatial interdependent networks -- 5.3. Semi-spatial model of network of networks -- 5.4. Fully-spatial interdependent networks : propagation of cascading failures -- 5.5. Effect of dependency link length, the r-model -- 5.6. Effect of connectivity link length, the [zeta]-model -- 5.7. Localized attacks , 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 -- 6.3. Overlap and intersimilarity in networks of networks -- 6.4. Different percolation processes in networks of networks -- 6.5. Multimodal transportation -- 6.6. Games on networks of networks -- 6.7. Controllability of a network of networks -- 6.8. Interdependent superconducting networks. , Also available in print. , Mode of access: World Wide Web. , System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
    Additional Edition: Print version: ISBN 9780750310475
    Additional Edition: ISBN 9780750318204
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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