For cycle matroids of graphs, the graded Möbius algebra is Koszul if and only if the graph is strongly chordal, with a new edge-ordering characterization of strong chordality.
K oszul algebras and regularity
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Koszul Graded M\"obius Algebras and Strongly Chordal Graphs
For cycle matroids of graphs, the graded Möbius algebra is Koszul if and only if the graph is strongly chordal, with a new edge-ordering characterization of strong chordality.