Forbidden-minor characterization for the class of graphic element splitting matroids

Kiran Dalvi; Y.M. Borse; M.M. Shikare

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Displaying similar documents to “Forbidden-minor characterization for the class of graphic element splitting matroids”

Graphic Splitting of Cographic Matroids

Naiyer Pirouz (2015)

Discussiones Mathematicae Graph Theory

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In this paper, we obtain a forbidden minor characterization of a cographic matroid M for which the splitting matroid Mx,y is graphic for every pair x, y of elements of M.

Forbidden-minor characterization for the class of cographic element splitting matroids

Kiran Dalvi, Y.M. Borse, M.M. Shikare (2011)

Discussiones Mathematicae Graph Theory

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In this paper, we prove that an element splitting operation by every pair of elements on a cographic matroid yields a cographic matroid if and only if it has no minor isomorphic to M(K₄).