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).
Lovász, László, Recski, András
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Svatopluk Poljak, Daniel Turzík (1984)
Czechoslovak Mathematical Journal
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Jaritz, Renate (1997)
Beiträge zur Algebra und Geometrie
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Richter-Gebert, Jürgen (1996)
Documenta Mathematica
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Wojciech Kordecki, Anna Łyczkowska-Hanćkowiak (2013)
Discussiones Mathematicae Graph Theory
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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
Çevik, A.Sinan, Cangül, İ.Naci (2009)
General Mathematics
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Mayhew, Dillon (2006)
The Electronic Journal of Combinatorics [electronic only]
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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.
Mani, Arun P. (2011)
The Electronic Journal of Combinatorics [electronic only]
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