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Complex Networks
Structure, Robustness and Function

$56.99 (P)

  • Date Published: August 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521841566

$ 56.99 (P)
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  • Examining important results and analytical techniques, this graduate-level textbook is a step-by-step presentation of the structure and function of complex networks. Using a range of examples, from the stability of the internet to efficient methods of immunizing populations, and from epidemic spreading to how one might efficiently search for individuals, this textbook explains the theoretical methods that can be used, and the experimental and analytical results obtained in the study and research of complex networks. Giving detailed derivations of many results in complex networks theory, this is an ideal text to be used by graduate students entering the field. End-of-chapter review questions help students monitor their own understanding of the materials presented.

    • Covers a range of subjects, from the stability of the internet to efficient methods of immunizing populations, to give the reader a broad presentation of the topic
    • Focuses on analytical techniques to give readers the basic tools to use in their own research
    • Each chapter ends with review questions so that students can monitor their understanding of the material presented
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    Product details

    • Date Published: August 2010
    • format: Hardback
    • isbn: 9780521841566
    • length: 248 pages
    • dimensions: 253 x 193 x 16 mm
    • weight: 0.7kg
    • contains: 56 b/w illus. 65 exercises
    • availability: In stock
  • Table of Contents

    1. Introduction
    Part I. Random Network Models:
    2. The Erdos–Renyi models
    3. Observations in real-world networks
    4. Models for complex networks
    5. Growing network models
    Part II. Structure and Robustness of Complex Networks:
    6. Distances in scale-free networks: the ultra small world
    7. Self-similarity in complex networks
    8. Distances in geographically embedded networks
    9. The network's structure - the generating function method
    10. Percolation on complex networks
    11. Structure of random directed networks - the bow tie
    12. Introducing weights: bandwidth allocation and multimedia broadcasting
    Part III. Network Function: Dynamics and Applications:
    13. Optimization of the network structure
    14. Epidemiological models
    15. Immunization
    16. Thermodynamic models on networks
    17. Spectral properties, transport, diffusion and dynamics
    18. Searching in networks
    19. Biological networks and network motifs
    Part Appendix A. Probability theoretical methods
    Appendix B. Asymptotics and orders of magnitude
    Appendix C. Algorithms for network simulation and investigation
    References
    Index.

  • Authors

    Reuven Cohen, Weizmann Institute of Science, Israel
    Shlomo Havlin is a Professor in the Department of Physics at Bar-Ilan University, Israel. He is an editor for several physics journals, has published over 600 articles in international journals, co-authored and co-edited 11 books, and won numerous awards for his work including the Weizmann Prize (2009) and the APS Lilienfeld Prize (2010).

    Shlomo Havlin, Bar-Ilan University, Israel
    Reuven Cohen is a Senior Lecturer in the Department of Mathematics at Bar-Ilan University, Israel. He has written many papers in the fields of complex networks, robot swarms, algorithms and communication networks, and has won several national and international prizes for his work.

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