利用重要度评价矩阵确定复杂网络关键节点

Finding vital node by node importance evaluation matrix in complex networks

为了对复杂网络节点重要度进行评估,针对节点删除法、节点收缩法和介数法的不足,通过定义节点效率和节点重要度评价矩阵,提出了一种利用重要度评价矩阵来确定复杂网络关键节点的方法.该方法综合考虑了节点效率、节点度值和相邻节点的重要度贡献,用节点度值和效率值来表征其对相邻节点的重要度贡献,其优化算法的时间复杂度为O(Rn^2).实验分析表明该方法可行有效,对于大型复杂网络可以获得理想的计算能力.

In order to evaluate the node importance in complex network, considering the disadvantages of node deletion method, node contraction method and betweenness method, through defining the node efficiency and the node importance evaluation matrix, a method to find the vital node in complex networks is proposed by using the node importance evaluation matrix. Considered in this method are the node efficiency, node degree and adjacent node importance contributions, and used adjacent node degree and efficiency value to characterize the contribution of their importance. Finally, an optimized algorithm whose time complexity was O（Rn2） is provided. Experiments show that this method is effective and feasible, and it is applicable to large scale complex networks.