Omega-N: Interpretable Structural Node Descriptors and Their Applicability Domain
A composite structural index summarises a network in one number, and for a triangle-based index it is spectrally redundant: Tr(A^3) is the third moment of the adjacency spectrum. The non-redundant content sits one level down, in diag(A^3), which depends on eigenvectors and is not spectrally determined. A corollary in the theory paper predicted that the global scalar should tie sharpened spectral baselines rather than beat them, while the node-wise attribution should do better where the number of structural epicentres is unknown. We construct Omega-N by localizing each of the four factors. The direct localization is badly conditioned; two corrections from published practice fix it, a confi...
| Authors | Alberto Acedo |
|---|---|
| Primary category | cs.SI |
| Published | 21 August 2026 |
| Last updated at source | 4 September 2026 |
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