On \(k\)-connected \(\gamma\)-extensions of binary matroids

DOI10.1134/S1995080218090226zbMath1414.05064arXiv1812.01256OpenAlexW2902616946MaRDI QIDQ669528

Ganesh Mundhe, Y. M. Borse

Publication date: 15 March 2019

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

Full work available at URL: https://arxiv.org/abs/1812.01256

zbMATH Keywords

splittingbinary matroid\(k\)-connected\(\Gamma\)-extension

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) Connectivity (05C40)

Cites Work

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• \(\Gamma\)-extension of binary matroids
• Eulerian graphs and related topics. Part 1, Volume 1
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• Splitting in a binary matroid
• Graphic and cographic \(\Gamma\)-extensions of binary matroids
• On connected splitting matroids
• On \(n\)-connected splitting matroids
• On extension of graphic matroids
• A characterization of n-connected splitting matroids

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