Geodesic
Graphic Splitting of Cographic Matroids
Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 1, pp. 95-104

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In this paper, we obtain a forbidden minor characterization of a cographic matroid M for which the splitting matroid M_x,y is graphic for every pair x, y of elements of M.
Keywords: binary matroid, graphic matroid, cographic matroid, minor, splitting operation 
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Pirouz, Naiyer. Graphic Splitting of Cographic Matroids. Discussiones Mathematicae. Graph Theory, Tome 35 (2015) no. 1, pp. 95-104. http://geodesic.mathdoc.fr/item/DMGT_2015_35_1_a7/