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arXiv · 2002.10380

From spherical chicken to the tipping points of a complex network

Gui-Yuan Shi·Rui-Jie Wu·Yi-Xiu Kong·Kim Sneppen
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Abstract

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.

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Gui-Yuan Shi, Rui-Jie Wu, Yi-Xiu Kong, Kim Sneppen. 2020-02-24. From spherical chicken to the tipping points of a complex network. https://arxiv.org/abs/2002.10380

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