论文标题
使用爱因斯坦产品进行多层网络中心度度量的张量形式主义
A tensor formalism for multilayer network centrality measures using the Einstein product
论文作者
论文摘要
由不同种类的实体组成的复杂系统可以通过多层网络对不同方式进行交互。本文将张量形式主义与爱因斯坦张量产品一起建模这种类型的网络。研究了几种以单层网络为众所周知的中心度度量，使用张量扩展到多层网络，并研究了其性能。特别是，考虑了基于张量的指数和分辨率的子图中心性。引入了Krylov子空间方法，用于计算大型多层网络的不同度量的近似值。
Complex systems that consist of different kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Einstein tensor product to model this type of networks. Several centrality measures, that are well known for single-layer networks, are extended to multilayer networks using tensors and their properties are investigated. In particular, subgraph centrality based on the exponential and resolvent of a tensor are considered. Krylov subspace methods are introduced for computing approximations of different measures for large multilayer networks.
