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Attacks and Cascades in Complex Networks
This paper reviews two problems in the security of complex networks: cascades of overload failures on nodes and range-based attacks on links.... -
Theoretical Neuroanatomy:Analyzing the Structure, Dynamics,and Function of Neuronal Networks
The mammalian brain is an extraordinary object: its networks give rise to our conscious experiences as well as to the generation of adaptive behavior... -
Tomography and Stability of Complex Networks
We study the structure of generalized random graphs with a given degree distribution P(k), and review studies on their behavior under both random... -
Topology, Hierarchy, and Correlations in Internet Graphs
We present a statistical analysis of different metrics characterizing the topological properties of Internet maps, collected at two different... -
A. Proof of Thm. 4.34
Abstract not available -
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Emergence of Complexity in Financial Networks
We present here a brief summary of the various possible applications of network theory in the field of finance. Since we want to characterize... -
Characteristics of Biological Networks
Network principles describe uniformly systems as diverse as the cell or the Internet. The emergence of these networks is driven by self-organizing... -
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References
Abstract not available -
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Classes of the Shortest Pathway Structures in Scale Free Networks
We study a problem of data packet transport between a pair of vertices on scale-free network, and introduce load of a vertex as the accumulated sum... -
The Optimal Pathin an Erdős-Rényi Random Graph
We study the optimal distance $\ell_{\mbox{\scriptsize opt}}$ in... -
Information Dynamics in the Networked World
We review three studies of information flow in social networks that help reveal their underlying social structure, how information spreads among them... -
Clustering in Complex Networks
Real, mostly socially rooted networks have the tendency to form the simplest morphological structures observable: triangles, or in other words... -
Boolean Modelingof Genetic Regulatory Networks
Biological systems form complex networks of interaction on several scales, ranging from the molecular to the ecosystem level. On the subcellular... -
Nonlinear Instabilities in TCP-RED
With the growing size and popularity of the Internet, congestion control has emerged as an important problem. Poor management of congestion can... -
Dynamics of Congestion Control
One reason for the success of TCP and its widespread usage in the Internet is its ability to control network congestion. A TCP source uses implicit... -
Statistical Properties of Chaos in Communication Networks
The behavior of communication networks, like the Internet is complex in many ways. This complexity may have many origins, including the topology of... -
2. Analysis of Switched and Impulsive Systems
The analysis will focus on the case where the switchings are governed by a finite state machine. This is because the common Lyapunov function method...