A forbidden-minor characterization for the class of regular matroids which yield the cographic es-splitting matroids

DOI10.1134/S199508021302008XzbMath1273.05033MaRDI QIDQ372799

S. B. Dhotre, P. P. Malavadkar, M. M. Shikare

Publication date: 21 October 2013

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

splittingexcluded minorscographic matroidselement splittinges-splitting operationforbidden-minor characterizationminor closed matroid propertyregular matroids

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Graph minors (05C83)

Related Items (3)

On n-connected minors of the es-splitting binary matroids ⋮ On 3-connected es-splitting binary matroids ⋮ The Closure Operator of es-Splitting Matroids

Cites Work

• \(\Gamma\)-extension of binary matroids
• Forbidden-minors for graphic and cographic es-splitting matroids
• On the excluded minors for regular matroids which yield cographic splitting matroids
• Decomposition of regular matroids
• Eulerian graphs and related topics. Part 1, Volume 1
• A classification of 4-connected graphs
• Forbidden-minor characterization for the class of cographic element splitting matroids
• Forbidden-minor characterization for the class of graphic element splitting matroids
• Extension of line-splitting operation from graphs to binary matroids
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