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
Euler, Solutio problematis ad geometriam situs pertinentis, Commentarii Acadmiae Scien- 34 tiarum Imperialis Petropolitanae8, 128 (1736)
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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