Complex Networks: Structure, Robustness and Function

Reuven Cohen; Shlomo Havlin

doi:10.1017/CBO9780511780356

Complex Networks

Structure, Robustness and Function

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Reuven Cohen, Bar-Ilan University, Israel, Shlomo Havlin, Bar-Ilan University, Israel

Publisher:: Cambridge University Press
Online publication date:: August 2013
Print publication year:: 2010
Online ISBN:: 9780511780356
DOI:: https://doi.org/10.1017/CBO9780511780356

Subjects:: Physics and Astronomy, Physical Chemistry, Statistical Physics, Chemistry

40.99 (GBP)

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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.

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Complex Networks

Structure, Robustness and Function

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

1 - Introduction
pp 1-6

PART I - RANDOM NETWORK MODELS
pp 7-8

2 - The Erdős–Rényi models
pp 9-15

3 - Observations in real-world networks: the Internet, epidemics, proteins and DNA
pp 16-30

4 - Models for complex networks
pp 31-50

5 - Growing network models: the Barabási–Albert model and its variants
pp 51-62

PART II - STRUCTURE AND ROBUSTNESS OF COMPLEX NETWORKS
pp 63-64

6 - Distances in scale-free networks: the ultra small world
pp 65-80

7 - Self-similarity in complex networks
pp 81-87

8 - Distances in geographically embedded networks
pp 88-90

9 - The structure of networks: the generating function method
pp 91-96

10 - Percolation on complex networks
pp 97-122

11 - Structure of random directed networks: the bow tie
pp 123-132

12 - Introducing weights: bandwidth allocation and multimedia broadcasting
pp 133-142

PART III - NETWORK FUNCTION: DYNAMICS AND APPLICATIONS
pp 143-144

13 - Optimization of the network structure
pp 145-153

14 - Epidemiological models
pp 154-160

15 - Immunization
pp 161-172

16 - Thermodynamic models on networks
pp 173-180

17 - Spectral properties, transport, diffusion and dynamics
pp 181-192

18 - Searching in networks
pp 193-199

19 - Biological networks and network motifs
pp 200-206

Appendix A - Probability theoretical methods
pp 207-212

Appendix B - Asymptotics and orders of magnitude
pp 213-214

Appendix C - Algorithms for network simulation and investigation
pp 215-221

References
pp 222-235

Index
pp 236-238

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Complex Networks

Structure, Robustness and Function

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Contents

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