Oriented matroids in terms of order functions.
Jaritz, Renate (1997)
Beiträge zur Algebra und Geometrie
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Jaritz, Renate (1997)
Beiträge zur Algebra und Geometrie
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G.M. Ziegler, N.E. Mnëv (1993)
Discrete & computational geometry
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J. Richter-Gebert, N.E. Mnëv (1993)
Discrete & computational geometry
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G.M. Ziegler (1993)
Discrete & computational geometry
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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).
B. Sturmfels, G. M. Ziegler (1993)
Discrete & computational geometry
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J. Bokowski, Bernd Sturmfels (1986)
Discrete & computational geometry
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Svatopluk Poljak, Daniel Turzík (1984)
Czechoslovak Mathematical Journal
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Ziegler, Günter M. (1996)
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.