The Structure and Dynamics of Networks / / Albert-László Barabási, Mark Newman, Duncan J. Watts.
From the Internet to networks of friendship, disease transmission, and even terrorism, the concept--and the reality--of networks has come to pervade modern society. But what exactly is a network? What different types of networks are there? Why are they interesting, and what can they tell us? In rece...
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Chapter One. Introduction
- Chapter Two. Historical developments
- Chain-links
- Connectivity of random nets
- On the evolution of random graphs
- Contacts and influence
- An experimental study of the small world problem
- Networks of scientific papers
- Famous trails to Paul Erdös
- Chapter 3. Empirical Studies
- Diameter of the world-wide web
- Graph structure in the web
- On power-law relationships of the internet topology
- Classes of small-world networks
- The large-scale organization of metabolic networks
- The small world of metabolism
- Network Motifs: Simple Building Blocks of Complex Networks
- The structure of scientific collaboration networks
- The web of human sexual contacts
- Chapter 4. Models of networks
- 4.1 RANDOM GRAPH MODELS
- A Critical Point for Random Graphs with a Given Degree Sequence
- A Random Graph Model for Massive Graphs
- Random graphs with arbitrary degree distributions and their applications
- 4.2 THE SMALL-WORLD MODEL
- Collective dynamics of 'small-world' networks
- Small-World Networks: Evidence for a Crossover Picture
- Comment on "Small-world networks: Evidence for crossover picture"
- Scaling and percolation in the small-world network model
- On the properties of small-world network models
- 4.3 MODELS OF SCALE-FREE NETWORKS
- Emergence of Scaling in Random Networks
- Structure of Growing Networks with Preferential Linking
- Connectivity of Growing Ra ndom Networks
- Competition and multiscaling m evolving networks
- Universal Behavior of Load Distribution in Scale-Free Networks
- Spectra of "real-world" graphs: Beyond the semicircle law
- The Degree Sequence of a Scale-Free Random Graph Process
- A MODEL OF LARGE-SCALE PROTEOME EVOLUTION
- Modeling of Protein Interaction Networks
- Chapter Five. Applications
- 5.1 EPIDEMICS AND RUMORS
- 5.2 ROBUSTNESS OF NETWORKS
- 5.3 SEARCHING NETWORKS
- EPIDEMICS WITH TWO LEVELS OF MIXING
- The effects of local spatial structure on epidemiological invasions
- Small World Effect in an Epidemiological Model
- Epidemic Spreading in Scale-Free Networks
- A simple model of global cascades on random networks
- Error and attack tolerance of complex networks
- Resilience of the Internet to Random Breakdowns
- Network Robustness and Fragility: Percolation on Random Graphs
- Authoritative Sources in a Hyperlinked Environment
- Search in power-law networks
- Navigation in a small world
- Chapter Six. Outlook
- References
- Index
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