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List of abbreviations Preface 1. A brief history of the Internet 2. How the Internet works 3. Measuring the global Internet 4. The Internet large scale topology 5. Modeling the Internet 6. The Internet robustness 7. Virtual and social networks in the Internet 8. Searching and walking on the Internet 9. Epidemics in the Internet 10. Beyond the Internet's skeleton: traffic and global performance 11. Outlook Appendix 1. Graph theory applied to topology analysis Appendix 2. Interface resolution and router topology Appendix 3. Numerical analysis of heavy-tailed distributions Appendix 4. Degree correlations Appendix 5. Scale-free networks: scaling relations Appendix 6. The SIR model of virus propagation Bibliography Index.