Abstract
We construct an infinite family of minor-minimal rank three matroids that are not orientable.
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Ziegler, G.M. Some minimal non-orientable matroids of rank three. Geom Dedicata 38, 365–371 (1991). https://doi.org/10.1007/BF00181199
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DOI: https://doi.org/10.1007/BF00181199