Characterizes binary matroids via their lattices of cyclic flats and proves that the cyclic flat lattice of a simple binary matroid without isthmuses is atomic.
Rota, Combinatorial theory, old and new, in: Actes du Congr` es International des Math´ ematiciens (Nice, 1970)
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Cyclic Flats of Binary Matroids
Characterizes binary matroids via their lattices of cyclic flats and proves that the cyclic flat lattice of a simple binary matroid without isthmuses is atomic.