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Titlebook: Mathematical Technology of Networks; Bielefeld, December Delio Mugnolo Conference proceedings 2015 Springer International Publishing Switz

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Spectra, Energy and Laplacian Energy of Strong Double Graphs,h the closed neighbourhood .[..] = .(..) ∪{ ..} of corresponding vertex in another copy. In this paper, we study spectra, energy and Laplacian energy of the graph .(.). We also obtain some new families of equienergetic and .-equienergetic graphs, and an infinite family of graphs . for which .(.) < .
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System/Environment Duality of Nonequilibrium Network Observables,dy states, with the introduction of a new set of macroscopic observables that, for planar graphs, are related by a duality. We apply this duality to the linear regime, obtaining a dual proposition for the minimum entropy production principle, and to discrete electromagnetism, finding that it exchang
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Sharp Spectral Estimates for Periodic Matrix-Valued Jacobi Operators,For the periodic matrix-valued Jacobi operator . we obtain the estimate of the Lebesgue measure of the spectrum ., where .. are off-diagonal elements of ..
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