7
第 1 章 简介(4 学时)
复杂系统与网络科学,网络科学的兴起,社会以及科学影响力
Chapter 1 Introduction (2 hours)
Complex system and network science, the emergence of network science, the societal and scientific impact
第 2 章 图论 (6 学时)
图与网络,度、平均度、度分布,邻接矩阵,加权网络、网络路径与最短距离、连通性、聚类系数
Chapter 2 Graph theory (4 hours)
Graphs and networks, degree, average degree, degree distribution, adjacency matrix, weighted network
distances, connectedness, clustering coefficient
第 3 章 随机网络 (6 学时)
随机网络模型, 随机网络度分布,小世界模型
Chapter 3 Random networks (6 hours)
Random network model, degree distribution, small worlds
第 4 章 无标度网络 (4 学时)
幂律分布与无标度网络,无标度网络的性质,无标度网络的生成
Chapter 4 Scale free network
Power laws and scale free networks, scale free properties, network generating
第 5 章 Barabási-Albert(BA)模型 (6 学时)
网络增长与优先连接,BA 模型,度增长,度分布,非线性优先连接,网络直径与聚类系数
Chapter 5 Barabási-Albert(BA)model (6 hours)
Growth and preferential attachment, BA model, degree dynamics, degree distribution, Non-
attachment, diameter and clustering coefficient
第 6 章 网络演化(4 学时)
Bianconi-Barabási 模型,Fitness,网络演化
Chapter 6 Evolving networks
Bianconi-Barabási model, measuring fitness, evolving networks
第 7 章 度相关性(4 学时)
Assortativity,度相关性的度量,性质及其应用
Chapter 7 Degree correlations (4 hours)
Assortativity, measuring degree correlations, properties and applications
第 8 章 网络鲁棒性(4 学时)
简介,渗流理论,无标度网络的鲁棒性,网络攻击,级联失效及建模
Chapter 8 Network robustness (4 hours)
Introduction, percolation theory, robustness of scale free networks, attack tolerance, cascading failures and modeling
第 9 章 社区结构(6 学时)
社区结构简介,层级聚类,模块性,重叠社区划分,应用
Chapter 9 Communities (4 hours)
Basics of communities, hierarchical clustering, modularity, overlapping communities, applications
第 10 章 传播 (4 学时)
简介,疾病传播与网络传播模型,接触网络,免疫,疾病传播预测
Chapter 10 Spreading (4 hours)
Introduction, epidemic modeling and network epidemics, contact networks, immunization, epidemic prediction
教材及其它参考资料 Textbook and Supplementary Readings
Textbook:
Network Science, Albert-László Barabási, Cambridge U. Press, 2016, 456 p, $59.99, ISBN 978-1-107-07626-6[J].