一种新的获得无标度网络的方法

提出一种新的获得无标度网络的新方法。该方法是从一个已有任意网络中，按照与度成反比的概率去除一个老结点，即结点连边越少、度越小，该点被去除的概率越大；去除一个老结点后，将一个新结点按照度优先原则加入到网络中去，占据去除结点位置；如此反复演化，可以获得一个无标度网络，该网络具有度分布较为集中，没有标准BA无标度网络的胖尾。

A New Method to Get Scale-free Network

We proposed a new method that can be used to get scale-free network from a small-world network without growth under the mechanism of preferential attachment.Before adding a new node into the network,we remove an old node with a probability according to its degree,a node with less degrees will have larger probability to be removed,and the position will be occupied by a new node,meanwhile the new node will attach to the network with preferential attachment.It is found that the degree distribution based on our model obeys a power-law form as BA model,but the scope of degree distribution in our model is much smaller than BA model.Especially,there is no fat tail in our model network degree distribution.