M-G-P型复杂网络中有寿命节点的进入退出机制

现实中复杂网络结构复杂,形式多样,处在高度动态变化的过程.为了更好地理解真实网络的演化,基于复杂网络的特性进行分析,建立了Poissotn连续时间增长节点具有寿命的M-G-P型复杂网络模型,模型中包括:新节点加入、节点老化和老节点退出等,基于齐次马尔可夫链对模型的度分布进行计算,得出M-G-P型网络的度分布符合幂律分布,模型和BA模型一样能产生指数γ=3的无标度网络,验证了导致无标度网络度分布特征起关键性作用的是链接的偏好特性.

The Mechanism of the Entry and Exit of a Node with a Lifetime in a M-G-P Type Complex Network Model

In reality,complex networks have various forms and complex structures in a highly dynamic and changeful process.In order to better understand the evolution of the real network,this paper proposes a M-G-P type complex network model by using a Poissonprocess and a continuous time increase in which the node has the lifetime based on the property of the complex network.The model includes that a new node is added,a node is aging and an old node exits etc.Furthermore,we calculated the degree distribution of the model based on homogeneous Markov chain.It is concluded that the degree distribution of the M-G-P type complex network obeys a power-law degree distribution.The model can produce the same scale-free network with the degree exponent γ =3 as the BAmodel.The result shows that the preferential attachment plays a key role in the degree distribution feature of the scale-free network.