Complex Networks

Erscheinungsjahr 2010
ISBN: 978-0-521-84156-6
Verlag: Cambridge University Press

Buch, Englisch, 248 Seiten, Format (B × H): 208 mm x 260 mm, Gewicht: 762 g

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

Autoren/Hrsg.

Cohen, Reuven

Havlin, Shlomo

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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 IV. Appendices
References
Index.

Über Autor(innen)

Cohen, Reuven
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).

Havlin, Shlomo
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.