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推荐一本网络科学入门书

2012-10-17 14:37 253 查看
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:

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

参考文献:

1.
Networks-an-introduction http://www-personal.umich.edu/~mejn/networks-an-introduction/
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