  The origin of many quantum-material phenomena is intimately related to the
presence of flat electronic bands. In quantum simulation, such bands have been
realized through line-graph lattices, a class of lattices known to exhibit flat
bands. Based on that work, we conduct a high-throughput screening for
line-graph lattices among the crystalline structures of the Materials Flatband
Database and report on new candidates for line-graph materials and lattice
models. In particular, we find materials with line-graph-lattice structures
beyond the two most commonly known examples, the kagom\'e and pyrochlore
lattices. We also identify materials which may exhibit flat topological bands.
Finally, we examine the various line-graph lattices detected and highlight
those with gapped flat bands and those most frequently represented among this
set of materials. With the identification of real stoichiometric materials and
theoretical lattice geometries, the results of this work may inform future
studies of flat-band many-body physics in both condensed matter experiment and
theory.
