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随着信息化社会的到来网络安全面临着重大的挑战,确保网络安全已经成为了一件刻不容缓的事情.而作为图论和线性代数的推广的拟阵理论在网络流等很多领域已经有很广泛的应用.主要通过在网络中建立了一个拟阵,再利用这个拟阵的一些特殊性质去判断该网络的安全性.首先,根据网络中服务器与用户之间的关系定义了一个函数,然后借助于这个函数可以构造用户集上的一个集族,经证明这个集族是满足拟阵的独立集公理的,从而可以建立网络中的一个拟阵.其次,为了实现这个拟阵在网络中的实际应用性,研究了它的一些基本的性质,如基,极小圈等.最后,讨论了当由一个网络导出的拟阵为特殊的几类拟阵时该网络的安全性.
With the advent of information society, network security is facing a major challenge to ensure network security has become an urgent matter.As the promotion of graph theory and linear algebra pseudo-matrix theory in many areas such as network traffic has a very wide range Mainly through the establishment of a pseudo-matrix in the network, and then use some of the special properties of the pseudo-array to determine the security of the network.First, according to the relationship between the server and the user in the network to define a function, and then with the help of In this function, we can construct a set of sets on a user set, and prove that this set satisfies the independent set of axioms of a set of matrices, so as to establish a pseudo-matrix in the network.Secondly, in order to realize the reality of this pseudo-array in the network Its basic properties, such as base, minimax, etc. Finally, the security of this network is discussed when several types of pseudo-matrices with pseudo-matrices derived from a network are discussed.