<ul><li>Introduction of HSG-12M, a large-scale dataset of spatial multigraphs embedded in a metric space.</li><li>HSG-12M contains 11.6 million static and 5.1 million dynamic Hamiltonian spectral graphs across 1401 characteristic-polynomial classes.</li><li>The dataset is derived from 177 TB of spectral potential data, encoding the full geometry of a 1-D crystal's energy spectrum on the complex plane.</li><li>Release of Poly2Graph pipeline allows mapping of arbitrary 1-D crystal Hamiltonians to spectral graphs, presenting new challenges and opportunities in graph learning.</li></ul>

HSG-12M: A Large-Scale Spatial Multigraph Dataset

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