In this paper we establish a link between diffraction theory and graph characterization through the Schrödinger operator. This provides a natural way of characterizing wave propagation on a graph. In order to do so, we compute the spatio-temporal Fourier transform of the operator and then pack its spherical representation in a point of a Stiefel manifold. We show that when the temporal interval of analysis is set according to quantum efficiency principles the proposed approach outperforms the alternatives in graph discrimination.
CITATION STYLE
Escolano, F., & Hancock, E. R. (2018). Bragg diffraction patterns as graph characteristics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10746 LNCS, pp. 62–75). Springer Verlag. https://doi.org/10.1007/978-3-319-78199-0_5
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