基于最短路径数的网络抗毁评价方法

Evaluation method for network invulnerability based on shortest route number

由于全连通网络具有最强的抗毁性,且节点间最短路径数对于网络抗毁性有重要意义,通过对计算节点之间的最短路径数,并将待评价网络与全连通网络进行结构差异比较,提出了一种基于最短路径数的网络抗毁评价方法。在此基础上建立了网络节点重要性的评价模型,一个节点与网络中其他节点之间的平均等效最短路径数越多,则该节点越重要。由于评价模型的关键是最短路径数的计算,因此,还提出了一种基于邻接阵的最短路径数计算方法。

Fully connecting network has the best invulnerability, and also the shortest route numbers between nodes is important for network invulnerability. Therefore, by calculating shortest route numbers and comparing the topology difference between target network and fully-connecting network, a method based on the shortest route numbers was proposed for evaluating network invulnerability. Further more, a method to evaluate node importance was proposed with it. The more the efficient shortest routes between one node and others, the more important the node was. Also, a method for calculating shortest way numbers between nodes was put forward because it is the key to evaluate model that is to calculate shortest route numbers.