本文从一个新的角度对一类随机图的度序列进行了分析.证明了此模型度分布的存在性,得到了网络规模比较大的情况下度为k的节点所占比例数的表达式.此外,我们还将模型扩展到每个时间步增加边数为随机变量的情形,得到了类似的结论.
We investigated the degree sequence of a general random graph from a new perpective.The degree distribution of the limiting proportion of vertices with degree k is deduced,and moreover,the model was generalized to a random case,which came to similar results with the determinate case.