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Networks A more general view. Xin Liu. Acknowledgement: Raissa D’Sousa Ref: The structure and function of complex networks, M. Newman. What is a network?. A graph model Vertices Edges. Social networks. Facebook. Viral Marketing. M. E. J. Newman. A social network. M. E. J. Newman.
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NetworksA more general view Xin Liu Acknowledgement: Raissa D’Sousa Ref: The structure and function of complex networks, M. Newman
What is a network? • A graph model • Vertices • Edges
Viral Marketing M. E. J. Newman
A social network M. E. J. Newman
The airline network Continental Airlines
Software call graph(Uncovering design principles/robustness to mutation) Chris Myers
The power grid(Mitigating failure; Distributed sources) D. Watts and S. Strogatz
Yeast protein signaling network(Control mechanisms in biology) S. Masloc and K. Sneppen; M. E. J. Newman
Food web Richard Williams
What is a network? • Topology (i.e., structure) • Activity (i.e., function) • Phase transitions
Network properties • Q: what do you notice in all these networks? • Connectivity and hubs • Power law distribution • Six-degree of separation • Kevin Bacon number • Erdos number • Scale, small -> large • Large network: stochastic properties
Community structure: Political Books USA, 2004 M. E. J. Newman
Network properties • Q: what do you notice in this network? • Partition • Clustering
The power grid(Mitigating failure; Distributed sources) D. Watts and S. Strogatz
Network properties • Q: are these networks robust?
A social network M. E. J. Newman
Network Functionality • Q: How to accelerate or decelerate certain propagation/transition? • Disease • Computer virus • How to search more efficiently, crawl more effectively?
Final exam • Th, 1-3pm • Office hour • Coverage • Question types