It is well-known that the scale-free networks are ubiquitous in nature and society and have been one of the hotspot topic in complex networks. Recently, scholars presented a large quantity of scale-free networks by calculating cumulative distribution. The purpose of this paper is to discuss the relationship between two cumulative distributions, namely, cumulative distribution, edge-cumulative distribution. Here, firstly, we introduce a relationship between degree distribution and cumulative distribution. Secondly, we introduce the definition of cumulative distribution and edge-cumulative distribution, and compare the relationship between them. Thirdly, we apply algorithmic techniques to construct three deterministic networks, calculate their cumulative distribution and edge-cumulative distribution, and analyze the relationship between cumulative distribution and edge-cumulative distribution. Finally, we offer some open problems for future research in order to understand the interplay between the degree distribution, cumulative distribution and edge-cumulative distribution.

众所周知，无标度网络在自然和社会中无处不在，并且已经成为复杂网络中的热点话题之一。最近，学者们通过计算累积分布提出了大量的无标度网络。本文的目的是讨论两个累积分布之间的关系，即累积分布，边缘累积分布。在这里，首先，我们介绍度分布和累积分布之间的关系。其次，介绍累积分布和边累积分布的定义，并比较它们之间的关系。第三，我们运用算法技术构建三个确定性网络，计算它们的累积分布和边累积分布，并分析了累积分布与边累积分布之间的关系。最后，为了理解度分布，累积分布和边累积分布之间的相互作用，我们为将来的研究提供了一些开放的问题。