Titlebook: Handbook of Large-Scale Random Networks; Béla Bollobás,Robert Kozma,Dezső Miklós Book 2008 Springer-Verlag Berlin Heidelberg 2008 Brain Dy

Goblet-Cells

Random Graphs and Branching Processes,orld wide web, neural networks, and social networks. As these large-scale networks seem to be ‘random’, in the sense that they do not have a transparent, well-defined structure, it does not seem too unreasonable to hope to find classical models of random graphs that share their basic properties. Suc

空洞

Percolation, Connectivity, Coverage and Colouring of Random Geometric Graphs,the .-nearest neighbour model .. and the Voronoi model G.. Many of the results concern finite versions of these models. In passing, we shall mention some of the applications to engineering and biology.

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Scaling Properties of Complex Networks and Spanning Trees, vertices in the network under strong disorder (i.e., a broad distribution of edge weights) and the minimum spanning tree. Based on properties of the percolation cluster we show that the distance between vertices under strong disorder and on the minimum spanning tree behaves as .. for the . vertex c

保守党

GRAZE

Reaction-diffusion Processes in Scale-free Networks,ee networks. We show how to derive rate equations within the heterogeneous mean-field formalism, and how information can be obtained from them both for finite networks in the diffusion-limited regime and in the infinite network size lime. By means of extensive numerical simulations, we check the mea

Meager

Toward Understanding the Structure and Function of Cellular Interaction Networks,hroughput molecular biology methods now allow for the construction of genome-level interaction graphs. In parallel, high-throughput molecular abundance data paired with computational algorithms can be used to infer graphs of interactions and causal relationships. Graph-theoretical measures and netwo

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建筑师

Reconstructing Cortical Networks: Case of Directed Graphs with High Level of Reciprocity,the fact that the cortical network is highly reciprocal although directed, i.e. the input and output connection patterns of vertices are slightly different. In order to solve the problem of predicting missing connections in the cerebral cortex, we propose a probabilistic method, where vertices are g

Conjuction

,-Clique Percolation and Clustering,with a great potential as a community finding method in real-world graphs. We present a detailed study of the critical point for the appearance of a giant .-clique percolation cluster in the Erdős-Rényi-graph. The observed transition is continuous and at the transition point the scaling of the giant

Petechiae

,Learning and Representation: From Compressive Sampling to the ‘Symbol Learning Problem’,rning. In this formulation learning is (1) exploiting the statistical properties of the system’s environment, (2) constrained by biologically inspired Hebbian interactions and (3) based only on algorithms which are consistent and stable. In the resulting model some of the most enigmatic problems of