On 3-connected es-splitting binary matroids

DOI10.1142/S1793557116500170zbMath1335.05030OpenAlexW1908803936MaRDI QIDQ2806099

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

Publication date: 13 May 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557116500170

zbMATH Keywords

binary matroides-splitting operation

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (3)

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

Cites Work

• A forbidden-minor characterization for the class of regular matroids which yield the cographic es-splitting matroids
• A classification of 4-connected graphs
• A characterization of the bases of line-splitting matroids
• A characterization of n-connected splitting matroids
• Extension of line-splitting operation from graphs to binary matroids

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