Geodesic
Broken Circuits in Matroids—Dohmen’s Inductive Proof
Discussiones Mathematicae. Graph Theory, Tome 33 (2013) no. 3, pp. 599-602

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Dohmen [4] gives a simple inductive proof of Whitney’s famous broken circuits theorem. We generalise his inductive proof to the case of matroids
Keywords: matroids, broken circuits, induction 
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Kordecki, Wojciech; Łyczkowska-Hanćkowiak, Anna. Broken Circuits in Matroids—Dohmen’s Inductive Proof. Discussiones Mathematicae. Graph Theory, Tome 33 (2013) no. 3, pp. 599-602. http://geodesic.mathdoc.fr/item/DMGT_2013_33_3_a8/