Structural Robustness and Vulnerability of Networks

AC Schwarze, J Jiang, J Wray, MA Porter - arXiv preprint arXiv …, 2024 - arxiv.org
Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it
is thus important to analyze the robustness of networks in many scientific disciplines. In …

Dynamical importance and network perturbations

E Young, MA Porter - arXiv preprint arXiv:2403.14584, 2024 - arxiv.org
The leading eigenvalue $\lambda $ of the adjacency matrix of a graph exerts much
influence on the behavior of dynamical processes on that graph. It is thus relevant to relate …