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We describe an application of the Legendre transform to communication networks. The Legendre transform applied to max-plus algebra linear systems corresponds to the Fourier transform applied to conventional linear systems. Hence, it is a powerful tool that can be applied to max-plus linear systems and their identification. Linear max-plus algebra has been… (More)
—In this paper, we employ spectral graph theory as a tool for analyzing the Internet topology. We show its importance in understanding dynamical behavior of complex networks. We also provide an overview of various approaches dealing with synchronization in complex networks.