A characterization of the bases of line-splitting matroids.
Azanchiler, Habib (2007)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “Equitable matroids.”
A characterization of the bases of line-splitting matroids.
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).
A note on the independence number of an identically self-dual perfect matroid design.
Marcu, Dănuţ (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Amalgamation over uniform matroids
Svatopluk Poljak, Daniel Turzík (1984)
Czechoslovak Mathematical Journal
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Oriented matroids in terms of order functions.
Jaritz, Renate (1997)
Beiträge zur Algebra und Geometrie
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On the excluded minors for matroids of branch-width three.
Hliněný, Petr (2002)
The Electronic Journal of Combinatorics [electronic only]
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Selected topics of matroid theory and its applications
Lovász, László, Recski, András
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Two interesting oriented matroids.
Richter-Gebert, Jürgen (1996)
Documenta Mathematica
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Characterizations of transversal and fundamental transversal matroids.
Bonin, Joseph E., Kung, Joseph P.S., de Mier, Anna (2011)
The Electronic Journal of Combinatorics [electronic only]
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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.