基于“优先连接”的复杂网络建模与仿真  

Model and Simulation of Complex Networks Based on “Preferential Attachment”

作　　者：王镇岭[1] 方爱丽[1] 张嗣瀛[1] 高齐圣[1] 

机构地区：[1]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2006年第3期6-9,共4页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：国家自然科学基金资助项目(70571041);山东省自然科学基金资助项目(Y2002G01);高等学校博士学科点专项科研基金资助项目(2005;1065002)

摘　　要：从复杂网络的角度,讨论了一类具有“优先连接”的生长网络模型,利用科学引文网络的实际数据,借助于统计工具SPSS验证了有限点网络模型的结论,并利用Matlab给出回归模拟图形。据两组实际数据仿真后得到的结果与理论结果比较,根据F检验的结果F=251.980>F1.17(0.05)=4.45,说明实际数据与理论数据吻合较好,即二者具有相关关系。从而证明了引文网络期望公式在统计意义上的正确性。From the viewpoint of complex networks, tial attachment＂. Using the original data of citation we discuss a kind of growing network with ＂preferen-networks, we apply the statistical tool SPSS to prove that the result of the networks＇ model limited nodes with is reasonable and we present the regression simulation graph by Matlab. Comparing the two groups of original data, in terms of the results of F test, we get F=251. 980〉F1.17 （0.05）=4.45, which shows that the theoretical results agree well with the original data. Then, the simulation results show that there is a correlation between the original data and the theoretic results. This demonstrates that the citation networks＇ expectation formula is statistically right.

关 键 词：复杂网络 小世界网络 优先连接 科学引文 

分 类 号：O157.5[理学—数学]