Complex systems in the real world inevitably suffer from unpredictable perturbations, which can trigger system disasters, wreaking significant economical losses. To exploit the robustness of complex systems in the face of disturbances is of great significance. One of the most useful methods for system robustness analysis comes from the field of complex networks characterized by percolation theories. Many percolation theories, therefore, have been developed by researchers to investigate the robustness of diverse complex networks. Nevertheless, extant percolation theories are primarily devised for multilayer or interdependent networks. Little endeavor is dedicated to systems with multipartitivity structures, that is, multipartite networks, which are an indispensable part of complex networks. This paper fills this research gap by theoretically examining the robustness of multipartite networks under random or target node attacks. The generic percolation theory for robustness analysis of multipartite networks is accordingly put forward. To validate the correctness of the proposed percolation theory, we carry out simulations on computer-generated multipartite networks with Poisson degree distributions. The results yielded by the proposed theory coincide well with the simulations. Both theoretical and simulation results suggest that complex systems with multipartitivity structures could be more robust than those with multilayer structures.

中文翻译：

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节点攻击下具有多分区结构的复杂系统的鲁棒性

现实世界中的复杂系统不可避免地遭受不可预测的扰动，这可能引发系统灾难，造成巨大的经济损失。在遇到干扰时利用复杂系统的鲁棒性具有重要意义。系统鲁棒性分析最有用的方法之一来自以渗流理论为特征的复杂网络领域。因此，研究人员开发了许多渗流理论来研究各种复杂网络的鲁棒性。然而，现存的渗流理论主要是为多层或相互依赖的网络设计的。尽力而为致力于具有多部分性结构的系统，即多部分网络，这是复杂网络必不可少的部分。本文通过理论上研究随机或目标节点攻击下的多方网络的鲁棒性，填补了这一研究空白。相应地提出了多渗流网络鲁棒性分析的通用渗流理论。为了验证所提出的渗流理论的正确性，我们对具有泊松度分布的计算机生成的多部分网络进行了仿真。所提出的理论得出的结果与仿真结果吻合得很好。理论和仿真结果均表明，具有多部分结构的复杂系统可能比具有多层结构的系统更健壮。为了验证所提出的渗流理论的正确性，我们对具有泊松度分布的计算机生成的多部分网络进行了仿真。所提出的理论得出的结果与仿真结果吻合得很好。理论和仿真结果均表明，具有多部分结构的复杂系统可能比具有多层结构的系统更健壮。为了验证所提出的渗流理论的正确性，我们对具有泊松度分布的计算机生成的多部分网络进行了仿真。所提出的理论得出的结果与仿真结果吻合得很好。理论和仿真结果均表明，具有多部分结构的复杂系统可能比具有多层结构的系统更健壮。