推荐一本网络科学入门书
2012-10-17 14:37
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推荐一本网络科学入门书
具体见参考1.
本书是M. E. J. Newman的代表作:《Networks: An Introduction》。
书目录:
参考文献:
1.
Networks-an-introduction http://www-personal.umich.edu/~mejn/networks-an-introduction/
具体见参考1.
本书是M. E. J. Newman的代表作:《Networks: An Introduction》。
书目录:
Table of Contents
Preface 1 Introduction 2 Technological networks 2.1 The Internet 2.2 The telephone network 2.3 Power grids 2.4 Transportation networks 2.5 Delivery and distribution networks 3 Social networks 3.1 The empirical study of social networks 3.2 Interviews and questionnaires 3.3 Direct observation 3.4 Data from archival or third-party records 3.5 Affiliation networks 3.6 The small-world experiment 3.7 Snowball sampling, contact tracing, and random walks 4 Networks of information 4.1 The World Wide Web 4.2 Citation networks 4.3 Other information networks 5 Biological networks 5.1 Biochemical networks 5.2 Neural networks 5.3 Ecological networks 6 Mathematics of networks 6.1 Networks and their representation 6.2 The adjacency matrix 6.3 Weighted networks 6.4 Directed networks 6.5 Hypergraphs 6.6 Bipartite networks 6.7 Trees 6.8 Planar networks 6.9 Degree 6.10 Paths 6.11 Components 6.12 Independent paths, connectivity, and cut sets 6.13 The graph Laplacian 6.14 Random walks 7 Measures and metrics 7.1 Degree centrality 7.2 Eigenvector centrality 7.3 Katz centrality 7.4 PageRank 7.5 Hubs and authorities 7.6 Closeness centrality 7.7 Betweenness centrality 7.8 Groups of vertices 7.9 Transitivity 7.10 Reciprocity 7.11 Signed edges and structural balance 7.12 Similarity 7.13 Homophily and assortative mixing 8 The large-scale structure of networks 8.1 Components 8.2 Shortest paths and the small-world effect 8.3 Degree distributions 8.4 Power laws and scale-free networks 8.5 Distributions of other centrality measures 8.6 Clustering coefficients 8.7 Assortative mixing 9 Basic concepts of algorithms 9.1 Running time and computational complexity 9.2 Storing network data 9.3 The adjacency matrix 9.4 The adjacency list 9.5 Trees 9.6 Other network representations 9.7 Heaps 10 Fundamental network algorithms 10.1 Algorithms for degrees and degree distributions | 10.2 Clustering coefficients 10.3 Shortest paths and breadth-first search 10.4 Shortest paths in networks with varying edge lengths 10.5 Maximum flows and minimum cuts 11 Matrix algorithms and graph partitioning 11.1 Leading eigenvectors and eigenvector centrality 11.2 Dividing networks into clusters 11.3 Graph partitioning 11.4 The Kernighan--Lin algorithm 11.5 Spectral partitioning 11.6 Community detection 11.7 Simple modularity maximization 11.8 Spectral modularity maximization 11.9 Division into more than two groups 11.10 Other modularity maximization methods 11.11 Other algorithms for community detection 12 Random graphs 12.1 Random graphs 12.2 Mean number of edges and mean degree 12.3 Degree distribution 12.4 Clustering coefficient 12.5 Giant component 12.6 Small components 12.7 Path lengths 12.8 Problems with the random graph 13 Random graphs with general degree distributions 13.1 Generating functions 13.2 The configuration model 13.3 Excess degree distribution 13.4 Clustering coefficient 13.5 Generating functions for degree distributions 13.6 Number of second neighbors of a vertex 13.7 Generating functions for the small components 13.8 Giant component 13.9 Size distribution for small components 13.10 Power-law degree distributions 13.11 Directed random graphs 14 Models of network formation 14.1 Preferential attachment 14.2 The model of Barabasi and Albert 14.3 Further properties of preferential attachment models 14.4 Extensions of preferential attachment models 14.5 Vertex copying models 14.6 Network optimization models 15 Other network models 15.1 The small-world model 15.2 Exponential random graphs 16 Percolation and network resilience 16.1 Percolation 16.2 Uniform random removal of vertices 16.3 Non-uniform removal of vertices 16.4 Percolation in real-world networks 16.5 Computer algorithms for percolation 17 Epidemics on networks 17.1 Models of the spread of disease 17.2 The SI model 17.3 The SIR model 17.4 The SIS model 17.5 The SIRS model 17.6 Epidemic models on networks 17.7 Late-time properties of epidemics on networks 17.8 Late-time properties of the SIR model 17.9 Time-dependent properties of epidemics on networks 17.10 Time-dependent properties of the SI model 17.11 Time-dependent properties of the SIR model 17.12 Time-dependent properties of the SIS model 18 Dynamical systems on networks 18.1 Dynamical systems 18.2 Dynamics on networks 18.3 Dynamics with more than one variable per vertex 18.4 Synchronization 19 Network search 19.1 Web search 19.2 Searching distributed databases 19.3 Message passing References Index |
1.
Networks-an-introduction http://www-personal.umich.edu/~mejn/networks-an-introduction/
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