SIAM Review, Volume 63, Issue 3, Page 433-433, January 2021.
Our Survey and Review paper, “The Why, How, and When of Representations for Complex Systems,” by Leo Torres, Ann S. Blevins, Danielle Bassett, and Tina Eliassi-Rad, lists 233 references. Some of them were published in applied mathematics journals, like SIAM Review or SIAM Journal on Applied Algebra and Geometry. Others appeared in well-known “pure” mathematics journals, including Annals of Mathematics and Bulletin of the American Mathematical Society. There are many references to multidisciplinary outlets like Science, Nature, or Proceedings of the National Academy of Sciences of the USA. But the whole list is astonishing: from the Journal of the Acoustical Society of America to Sociometry to Human Brain Mapping. This diversity of journals is obviously due to the interest in complex systems that now exists in a wide variety of applications. A complex system is a collection of a large number of objects or agents that interact with one another in a way that gives rise to the emergence of collective behaviors not immediately predictable from the aggregation of the individual behaviors of the parts. The generality of this definition---the objects may be anything from molecules in a cell to businesses in the economy of a country---makes it possible for complex system theory to be useful in a large variety of fields, as described above. On the flip side, a theory that is spread over such a diversity of application areas may easily be compartmentalized. The aim of the review in this issue is to propose a common language to increase the cohesion of the theory. Three alternative approaches to the representation of complex systems are discussed in detail: graphs, simplicial complexes, and hypergraphs. The main ideas are illustrated by means of more than a dozen figures, and the paper closes with two real-world examples using coauthorship data and email communication data. In addition to being useful for complex system scientists wishing to broaden their view of the theory, the survey provides an accessible introduction to the field.

中文翻译：

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调查和审查

SIAM 评论，第 63 卷，第 3 期，第 433-433 页，2021 年 1 月。
我们的调查和评论论文“复杂系统表示的原因、方式和时间”，由 Leo Torres、Ann S. Blevins、Danielle Bassett 和 Tina Eliassi-Rad 撰写，列出了 233 篇参考文献。其中一些发表在应用数学期刊上，如 SIAM Review 或 SIAM Journal on Applied Algebra and Geometry。其他人则出现在著名的“纯”数学期刊上，包括 Annals of Mathematics 和 Bulletin of the American Mathematical Society。有很多关于多学科媒体的参考资料，如《科学》、《自然》或美国国家科学院院刊。但整个列表令人惊讶：从美国声学学会杂志到社会测量学再到人脑测绘。期刊的这种多样性显然是由于对现在存在于各种应用中的复杂系统的兴趣。复杂系统是大量对象或代理的集合，这些对象或代理以某种方式相互交互，从而导致集体行为的出现，无法从各个部分的个体行为的聚合中立即预测。这个定义的一般性——对象可以是从细胞中的分子到一个国家经济中的企业的任何东西——使得复杂系统理论有可能在各种各样的领域中发挥作用，如上所述。另一方面，一个分布在如此多样化的应用领域的理论可能很容易被划分。本期综述的目的是提出一种共同语言，以增加理论的凝聚力。详细讨论了表示复杂系统的三种替代方法：图、单纯复形、和超图。主要思想通过十多幅图来说明，本文以两个使用合着数据和电子邮件通信数据的真实示例结束。除了对希望拓宽理论视野的复杂系统科学家有用之外，该调查还提供了对该领域的易于理解的介绍。