自由和开源软件依赖网络中的规模效应
Finite-size effects in the dependency networks of free and open-source software
摘要：
我们提出了一个连续模型的度分布的有向网络在自由和开源软件。对于中间结点，内向和外向依赖网络中的链接度分布都遵循Zipf定律，但对于链接度较高的节点和链接度较低的节点，其链接度分布则偏离这一趋势，表现出有限尺寸效应.有限大小的参数使内向和外向网络之间的定量区分。对于出度分布，动态演化的初始条件对应于向外定向网络最终可以拥有的最受欢迎节点的有限计数。每一代软件发布都会增加向外链接的节点数量，但由于网络中语义可能性的有限性，这种增长最终会饱和到终端值。
英文摘要：
We propose a continuum model for the degree distribution of directed networks in free and open-source software. The degree distributions of links in both the in-directed and out-directed dependency networks follow Zipf's law for the intermediate nodes, but the heavily linked nodes and the poorly linked nodes deviate from this trend and exhibit finite-size effects. The finite-size parameters make a quantitative distinction between the in-directed and out-directed networks. For the out-degree distribution, the initial condition for a dynamic evolution corresponds to the limiting count of the most heavily liked nodes that the out-directed network can finally have. The number of nodes contributing out-directed links grows with every generation of software release, but this growth ultimately saturates towards a terminal value due to the finiteness of semantic possibilities in the network.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
