异质网络结构的有效性

The Efficiency of Network Structure with Heterogeneous Individuals

在网络形成的理论框架下探讨网络结构的有效性问题。不同于均衡连接模型[1]中描述的同质个体,个体差异性是现实生活中普遍存在的现象。因此模型引入个体的异质性因素,探讨个体存在差异的条件下,什么样的网络结构是有效的。研究结果表明个体的异质性没有改变有效网络结构的整体变化趋势,但影响了星图作为有效网络结构的成本条件,并且约束了有效星图的范围。

The problem about the efficiency of network structure is studied from the perspective of network formation theory. Different from the homogeneous individuals described in the symmetric connections model, the difference of individ- uals is a general phenomenon in our life. So, the heterogeneous factors of individuals are introduced into the symmetric connections model and effective network structure under the condition of heterogeneous actors is explored. The work shows that the heterogeneous factor of individuals can not alter the whole change trend of effective network structures, but influ- ences the cost condition under which star is the effective network structure and constrains the scope of effective star.