论文标题
复杂的超图
Complex hypergraphs
论文作者
论文摘要
提供自然和人类复杂结构的抽象表示是一个具有挑战性的问题。考虑系统的异质组件，同时允许进行分析性障碍是一个困难的平衡。在这里，我介绍了复杂的超图（Chygraphs），从而将超图，多层网络，简单复合物和超结构的概念汇总在一起。为了说明此组合结构的适用性，我计算了组件大小的统计数据并确定向巨型组件的过渡。为此，我引入了一种矢量化技术，该技术应对Chygraphs的多层次性质。我得出的结论是，Chygraphs是允许分析洞察力的复杂系统的统一表示。
Providing an abstract representation of natural and human complex structures is a challenging problem. Accounting for the system heterogenous components while allowing for analytical tractability is a difficult balance. Here I introduce complex hypergraphs (chygraphs), bringing together concepts from hypergraphs, multi-layer networks, simplicial complexes and hyperstructures. To illustrate the applicability of this combinatorial structure I calculate the component sizes statistics and identify the transition to a giant component. To this end I introduce a vectorization technique that tackles the multi-level nature of chygraphs. I conclude that chygraphs are a unifying representation of complex systems allowing for analytical insight.
