从球形鸡到复杂网络的临界点
From spherical chicken to the tipping points of a complex network
摘要：
疫情暴发、金融危机出现、生态系统崩溃、谣言爆炸式传播，当今世界面临诸多挑战。这些现实世界的问题可以抽象为一个复杂系统在日益紧张的环境中的连续分解。由于系统和环境都需要大量的参数来描述，因此很难估计故障条件。我们使用一个高度对称的系统来衡量一个复杂的环境，这使我们能够提出一个标量基准来描述环境。这使我们能够证明，复杂网络的所有临界点都落在网络的最大k-核心和最大特征值之间。
英文摘要：
The outbreak of epidemics, the emergence of the financial crisis, the collapse of ecosystem, and the explosive spreading of rumors, we face many challenges in today's world. These real-world problems can be abstracted into a sequential break down of a complex system in an increasingly stressful environment. Because both the system and the environment require a large number of parameters to describe, the break down conditions has been difficult to estimate. We use a highly symmetric system to gauge a complex environment, which enables us to propose a scalar benchmark to describe the environment. This allows us to prove that all the tipping points of a complex network fall between the maximum k-core and maximum eigenvalue of the network.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
