Bragg Diffraction Patterns as Graph Characteristics

Francisco Escolano, Edwin R. Hancock

Abstract: 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.