论文标题
多路复用，时间多重和耦合的多层网络中的层纠缠
Layer entanglement in multiplex, temporal multiplex, and coupled multilayer networks
论文作者
论文摘要
复杂的网络（例如运输网络，社交网络或生物网络），通过仅表示一种类型的交互来捕获它们建模的复杂系统。在现实世界系统中，可能有许多不同的方面将实体联系在一起。这些可以使用多层网络捕获，该网络结合了单个模型中的不同交互方式。多层网络中的耦合可能表现出不同的属性，这些属性可能与它们建模的数据的性质有关（或与时间依赖的数据中的事件）有关。我们假设可以通过交织在一起的方式反映这种特性。在本文中，我们通过耦合多层网络中的层纠缠棱镜进行了研究。我们在6个不同学科（社会，遗传，运输，共同创作，贸易和神经元网络）中测试了30多个现实生活中的网络。我们进一步提出了一个随机生成器，显示了1,329,696个合成耦合的多层网络的基本层纠缠和过渡耦合纠缠的可比模式。我们的实验证明了跨学科的层纠缠差异，甚至暗示了纠缠强度与同质性之间的联系。我们还研究了3个现实世界中数据集中的纠缠，这些数据集在其他网络活动之前显示纠缠活动的潜在增加。
Complex networks, such as transportation networks, social networks, or biological networks, capture the complex system they model often by representing only one type of interactions. In real world systems, there may be many different aspects that connect entities together. These can be captured using multilayer networks, which combine different modalities of interactions in a single model. Coupling in multilayer networks may exhibit different properties which can be related to the very nature of the data they model (or to events in time-dependant data). We hypothesise that such properties may be reflected in the way layers are intertwined. In this paper, we investigated these through the prism of layer entanglement in coupled multilayer networks. We test over 30 real-life networks in 6 different disciplines (social, genetic, transport, co-authorship, trade, and neuronal networks). We further propose a random generator, displaying comparable patterns of elementary layer entanglement and transition coupling entanglement across 1,329,696 synthetic coupled multilayer networks. Our experiments demonstrate difference of layer entanglement across disciplines, and even suggest a link between entanglement intensity and homophily. We additionally study entanglement in 3 real world temporal datasets displaying a potential rise in entanglement activity prior to other network activity.
