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Titlebook: Complex Networks; Eli Ben-Naim,Hans Frauenfelder,Zoltan Toroczkai Book 2004 Springer-Verlag Berlin Heidelberg 2004 biological networks.com

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,Classes of the Shortest Pathway Structures in Scale Free Networks, a fraction of data packets traveling along the shortest pathways between every pair of vertices. It is found that the load distributions for many real-world networks follow a power law with an exponent . which is close to either 2.2(1) (class I) or 2.0 (class II), insensitive to different values of
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Clustering in Complex Networks,y linked triples of nodes. This is captured by the concept of clustering. We review a few milestones in the quantitative description of this feature, together with selected models that reproduce certain attributes of clustering in various networks. Lastly, we present an example of problems faced whe
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Equilibrium Statistical Mechanicsof Network Structures,el way of defining equilibrium graph (network) ensembles. We illustrate this concept on the classical random graph model and then survey a large variety of recently studied network models. Next, we analyze the structural properties of the graphs in these ensembles in terms of both local and global c
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,Information Theory of Complex Networks: On Evolution and Architectural Constraints,nder node removal. Several correlation measures have been defined in order to characterize the structure of these nets. Here we show that mutual information, noise and joint entropies can be properly defined on a static graph. These measures are computed for a number of real networks and analyticall
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On the Analysis of Backtrack Proceduresfor the Colouring of Random Graphs,s. Analysis of the performances of these procedures is a long-standing open problem in theoretical computer science. I present some statistical physics ideas and techniques to attack this problem. The approach is illustrated on the colouring of random graphs, and some current limitations and perspec
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Small-World Synchronized Computing Networks for Scalable Parallel Discrete-Event Simulations,chronization topology mimics that of the short-range interacting underlying system, the virtual time horizon (corresponding to the progress of the processing elements) exhibits Kardar-Parisi-Zhang-like kinetic roughening. Although the virtual times, on average, progress at a nonzero rate, their stat
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Attacks and Cascades in Complex Networks, the subsequent failure of other parts of the network induced by the failure of or attacks on only a few nodes. We investigate a mechanism leading to cascades of overload failures in complex networks by constructing a simple model incorporating the flow of physical quantities in the network. The sec
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Scholarly Information Network,scholarly publication models. If we were to start from scratch today to design a quality-controlled archive and distribution system for scientific and technical information, it could take a very different form from what has evolved in the past decade from pre-existing print infrastructure. Near-term
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