Department of Applied Mathematics, Rey Juan Carlos University, Madrid, Spain 28933.
Chaos. 2013 Sep;23(3):033131. doi: 10.1063/1.4818544.
We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type centralities. In addition, we rigorously show that, under reasonable conditions, such centrality measures exist and are unique. Computer experiments and simulations demonstrate that the proposed measures provide substantially different results when applied to the same multiplex structure, and highlight the non-trivial relationships between the different measures of centrality introduced.
我们将特征向量中心度的概念扩展到多重网络中，并引入了几个替代参数来量化多层网络系统中节点的重要性，包括向量型中心度的定义。此外，我们严格证明了，在合理的条件下，这样的中心度度量是存在且唯一的。计算机实验和模拟表明，当应用于相同的多重结构时，所提出的度量方法会产生截然不同的结果，并突出了所引入的不同中心度度量方法之间的非平凡关系。
