Scientific cooperation on an international level has been well studied in the literature. However, much less is known about this cooperation on the intercontinental level. In this paper, we address this issue by creating a collection of approximately 13.8 million publications around the papers by one of the highly cited author working in complex networks and their applications. The obtained rank-frequency distribution of the probability of sequences describing continents and number of countries -- with which authors of papers are affiliated -- follows the power law with an exponent $-1.9108(15)$. Such a dependence is known in the literature as Zipf's law and it has been originally observed in linguistics, later it turned out that it is very commonly observed in various fields. The number of distinct ``continent (number of countries)'' sequences in a function of the number of analyzed papers grows according to power law with exponent $0.527(14)$, i.e. it follows Heap's law.
翻译:国际层面的科学合作已在文献中得到了充分研究,然而,关于跨洲际合作的了解却少得多。在本文中,我们通过构建一个约1380万篇出版物组成的集合(这些出版物围绕一位在复杂网络及其应用领域的高被引作者的工作展开),来探讨这一问题。所得序列(描述作者所属的大洲及国家数量)概率的秩频分布遵循幂律,指数为$-1.9108(15)$。这种依赖关系在文献中被称为齐普夫定律,最初在语言学中发现,后来被证实普遍存在于多个领域。不同“大洲(国家数量)”序列的数量随分析论文数量的增长遵循指数为$0.527(14)$的幂律,即符合希普斯定律。