基于超图结构的科研合作网络演化模型

基于科研论文作者的合作方式, 用超图理论构建了一个科研合作超网络演化模型. 利用平均场理论分析了作者发表论文的演化规律, 发现作者的超度 (即发表论文数) 分布符合幂律分布. 进一步理论分析得到分布的幂指数γ与合作领域作者增长速度相关. γ越大, 新作者增长速度越快, 且存在关系: γ=1+L/M (L/M为作者增长率). 并通过对《物理学报》与《中国科学》2003–2012年期间作者发表论文进行了数据分析, 实证结果与理论分析及模拟结果能很好地符合. 本文对科研合作网络的理论和实证研究有一定的借鉴意义. 关键词： 复杂网络 超图 科研合作网络 演化模型

An evolving model for hypergraph-structure-based scientific collaboration networks

In this paper, by considering the collaborative scientific behaviors, a model for evolving hyper-network is proposed based on the hypergraph theory. We study analytically the dynamics of authors’ hyper-degree using mean-field approach. Results of both theoretical and numerical studies indicate that such a hyper-degree distribution follows a power-law decay, with the exponent γ=1+L/M, where L/M suggests the author growth rate of an evolving scientific network. In addition, empirical studies on ten-year journal data of Science China and Acta Physica Sinica from 2003 to 2012, shows that the present model can find good agreement with the empirical data. The proposed model may shed some light on the in-depth understanding of the structure and scientific collaboration networks.
Keywords： complex networks hypergraphs scientific collaboration evolving model