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Efficient behavior of small-world networks.
It is shown that the underlying general principle of their construction is in fact a small-world principle of high efficiency, which gives a clear physical meaning to the concept of "small world," and also a precise quantitative analysis of both weighted and unweighted networks.
Complex networks: Structure and dynamics
Error and attack tolerance of complex networks
Economic small-world behavior in weighted networks
This paper proposes a generalization of the theory of small worlds based on two leading concepts, efficiency and cost, and valid also for weighted networks, and provides an adequate tool to quantitatively analyze the behaviour of complex networks in the real world.
The Network Analysis of Urban Streets: A Primal Approach
Model for cascading failures in complex networks.
- P. Crucitti, V. Latora, M. Marchiori
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 5 September 2003
It is shown that the breakdown of a single node is sufficient to collapse the efficiency of the entire system if the node is among the ones with largest load.
Structural measures for multiplex networks.
- F. Battiston, V. Nicosia, V. Latora
- Computer SciencePhysical review. E, Statistical, nonlinear, and…
- 14 August 2013
This paper presents a general framework to describe and study multiplex networks, whose links are either unweighted or weighted, and proposes a series of measures to characterize the multiplexicity of the systems in terms of basic node and link properties.
A topological analysis of the Italian electric power grid
Modeling cascading failures in the North American power grid
This model of the North American power grid using its actual topology and plausible assumptions about the load and overload of transmission substations indicates that the loss of a single substation can result in up to up to 25% loss of transmission efficiency by triggering an overload cascade in the network.
Structural properties of planar graphs of urban street patterns.
- Alessio Cardillo, S. Scellato, V. Latora, S. Porta
- MathematicsPhysical review. E, Statistical, nonlinear, and…
- 17 October 2005
This work studies the basic properties of twenty 1-square-mile samples of street patterns of different world cities and finds that cities of the same class, e.g., grid-iron or medieval, exhibit roughly similar properties.