Adapts the Debye volume-to-interface ratio to graphs as twice the total edges divided by sign-change edges to assign effective length scales to Laplacian eigenvectors, producing dispersion relations and densities of states on networks including C. elegans, power grids, and tree graphs with shortcuts
As these will have randomly varying signs, this will increase the number of broken bonds in the affected eigenvectors
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Effective length scales, dispersion relations, and discrete densities of states for Laplacian eigenvectors on complex networks
Adapts the Debye volume-to-interface ratio to graphs as twice the total edges divided by sign-change edges to assign effective length scales to Laplacian eigenvectors, producing dispersion relations and densities of states on networks including C. elegans, power grids, and tree graphs with shortcuts