华东师范大学学报（自然科学版）Issue(6)：42-49,8.DOI:10.3969/j.issn.1000-5641.2017.06.004
基于两种不同择优概率下的无标度网络模型
One scale-free network model based on two different preferential attachment probabilities
摘要
Abstract
Based on the classic scale-free network model,we set up the partial differential equation satisfied a more general network dynamic system,and then we not only find another important topological property of scale-free network,but also discuss the real background meaning of every function.Meanwhile,we extend the BA-network-model growth principle,degree-preferential attachment mechanism.Starting from a more general situation,we establish a network model containing degree-preferential attachment probability and special-graph-preferential attachment probability.By analysis,this model is scale-free.Finally,we distinguish the connect between the scope of the power law parameter γof scale-free network and the phenomena all kinds of preferential attachment probabilities co-existing.According to the contribution level from the vertex to the whole network,we come up with a preferential attachment probability.关键词
无标度网络模型/动态演化/偏微分方程/度优先连接/特殊图形优先连接Key words
scale-free network model/dynamical evolution/partial differential equation/degree preferential attachment/graph preferential attachment分类
数理科学引用本文复制引用
马飞,姚兵..基于两种不同择优概率下的无标度网络模型[J].华东师范大学学报（自然科学版）,2017,(6):42-49,8.基金项目
国家自然科学基金(61163054,61363060,61662066) （61163054,61363060,61662066）
