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Spectra and eigenstates of the adjacency matrix of a complex network provide many important information about its structure and dynamics. By mapping the adjacency matrix of a small-world network to the Hamiltonian of a quantum system, the statistical properties of the spectra and the localization of eigenstates are analyzed. Theoretical analysis and numerical results show that the spectrum corresponding...
Heterogeneous parallel and distributed computing systems may operate in an environment where certain system performance features degrade due to unpredictable circumstances. Robustness can be defined as the degree to which a system can function correctly in the presence of parameter values different from those assumed. This paper presents a mathematical model for quantifying robustness in a dynamic...
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